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Product Description
The Algebra 2 Tutor DVD Series teaches students the core topics of Algebra 2 and bridges the gap between Algebra 1 and Trigonometry, providing students with essential skills for understanding advanced mathematics.
This lesson teaches students how to solve equations that contain polynomials that cannot be easily factored. In order to do this, the quadratic formula must be used. Students are introduced to the quadratic formula and taught how to properly apply it to the equation at hand. Grades 8-12. 15
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978156414 Math: Solving Word Problems (Master Math Series)
Students throughout the world fear and dread solving word problems. As students' reading skills have declined, so have their abilities to solve word problems. This book offers solutions to the most standard and non-standard word problems available. It follows the suggestions of the National Council of Teachers of Mathematics (NCTM) and incorporates the types of problems usually found on standardized math tests (PSAT, SAT, and others
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Synergy ParentVUE
Translator
The Google translation of this page's content may not be completely accurate. Please contact the school directly for clarification of official information.
Algebra 3-4
Course Description
This course emphasizes modeling data and problem situations with functions, specifically linear, quadratic, polynomial, exponential, rational, radical and logarithmic functions. The course also introduces students to sequences and series, solving systems with and without matrices, complex numbers, problems in trigonometry and some descrete topics such as probability. Students deepen their understanding of these topics as they work both individually and in groups to solve problems, to apply the mathematics and to communicate their reasoning. Students will use TI-84 graphing calculator in class to study these topics
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Mathematics and Statistics Colleges
A program with a general synthesis of mathematics and statistics or a specialization which draws from mathematics and statistics. Includes instruction in calculus, linear algebra, numerical analysis and partial differential equations, discrete mathematics, probability theory, statistics, computing, and other related
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Description of Saxon Algebra 1/2: Homeschool Tests by Saxon
Based on Saxon's proven methods of incremental development and continual review strategies, the Algebra 1/2 Kit combines pre-algebra mathematics with a full pre-algebra course and an introduction to geometry and discrete mathematics.
This set of tests is ideal for the homeschool family that already has the Algebra 1/2 curriculum and needs resources for an additional student completing the program.
Product:
Saxon Algebra 1/2: Homeschool Tests
Author:
Saxon
Prepared by:
Saxon Publishers
Edition Number:
3
Series:
Homeschool Algebra
Binding Type:
Paperback
Media Type:
Book
Minimum Age:
13
Maximum Age:
13
Minimum Grade:
8th Grade
Maximum Grade:
8th Grade
Number of Pages:
40
Weight:
0.18 pounds
Length:
3.82 inches
Width:
4.42 inches
Height:
0.08 inches
Publisher:
Saxon Publishers
Publication Date:
January 2005
Subject:
Algebra, Calculus & Trig, Math Algebra 1/2: Homeschool Tests.
Saxon math is very thorough in teaching and reviewing concepts. While the lessons are lenghty, they can easily be divided over two days if this is necessary for retention. The text is quite dry and the lesson format never varies. This, along with the black and white pages covered in small print, can make for a long and boring year for those students who are already 'anti-math'.
For all of those negatives, I still found it to be the best thing I could have used for my 'anti-math' daughter for pre-algebra. She was given a solid foundation in math and algebraic concepts. Sticking with this was a struggle, but well worth it. She is now doing very well in algrebra (with a different curriculum) and has a confidence we owe to Saxon 8/7.
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Research Strategy: When looking for materials in the LAPL catalog, it is helpful to do a search using the Subject Heading or Subject Browse option to the word: "Algebra." When searching for DVD, look for more current materials.
Books
510 S781 Stahl, Amy Barron's painless pre-algebra This is one of the best books for learning pre-algebra. It provides the basic concepts of pre-algebra including: Rational numbers, Basic algebra, Ratios and proportions, Percents, Integers, Exponents and roots, Multi-step equations and inequalities, Linear equations and Polynomials..
510 S997 Szecsei, Denise Basic Math and pre-Algebra s covering: numbers, integers, exponents, decimals, equations, ratios and percentages, graphs, linear functions, algebra & geometry, monomials & polynomials, and applications. Each chapter gives plenty of examples with step-by-step explanation. There are review sessions within the chapter to refresh what students had just learned. Word problems are included in many chapters.
58 2011 Bluman, Allan G. Pre-algebra demystified The book is divided into 12 chapters covering: whole numbers, integers, fractions, decimals, percentage, expressions and equations, ratio and proportion, geometry, measurement, graphing, monomials and polynomials. Each chapter clearly stated the objectives that student will achieve. Problems are explained in a step-by step process that students can easily understand. There are plenty of practice questions for students to follow along. Each chapter follows with a quiz students to review what has just learned. The Geometry chapter includes how to determine areas and volumes on various geometric figures.
512 L912 Low, Yvonne, Kyoodoz Algebra solution book. This book is the perfect solution for coming up with questions for the everyday quiz and exam for your classroom. There are also plenty of word problems to solve. It has step-by-step solution to each problem. It covers fractions, factoring & proportions, Inequalities, quadratic equations, exponents, logarithms, Pythagorean theorem, function, lines & equations, binomial expansions.
Online Resources
Live Homework Help – Online one-on-one tutoring services for K-12th grade. It covers Elementary Math, middle grade, algebra, geometry, trigonometry and calculus. This is a free tutoring service that is perfect for your students who are having difficulty solving questions on their own. A tutor will guide them to a specific homework problem or explain the various concepts in math.
Databases
Learning Express Library This database is on the LAPL website. It can be login from the library or another computer with a library card access. Under Middle School –Math Skills Improvement, one can find these useful topics and practice test: algebra and patterns, basic math, data analysis and probability, geometry and measurement, and California 8th Grade mathematics practice test.
AccessScience (McGraw-Hill Encyclopedia of Science & Technology) This database is on the LAPL website. It can be login from the library or another computer with a library card access. Online version of the standard encyclopedia with updated science and technology news, biographies, learning resources, study guides, and links to related web sites. It gives an academic explanation on the various mathematic terms and concepts.
Websites
This is one of the best math help websites, includes jokes, SAT vocabulary quiz, and interactive homework problems. Topics include Pre-Algebra, linear Algebra and other college Algebra
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THE PLANE
AND PROOF
ESTIMATION
INEQUALITIES
EXPERIMENTS
DISTRIBUTIONS
RELATIONSHIPS
STANDARD A2: FUNCTIONS
STRAND 2: ALGEBRA AND FUNCTIONS
STANDARD S3: SAMPLES, SURVEYS, AND
STRAND 4: STATISTICS AND PROBABILITY
STANDARD A3: MATHEMATICAL MODELING
SYSTEMS, AND QUANTITATIVE SITUATIONS
Engineering Design & Development
STRAND 3: GEOMETRY AND TRIGONOMETRY
STANDARD L1: REASONING ABOUT NUMBERS,
STANDARD L3: MEASUREMENT AND PRECISION
STRAND 1: QUANTITATIVE LITERACY AND LOGIC
STANDARD A1: EXPRESSIONS, EQUATIONS, AND
STANDARD L2: CALCULATION, ALGORITHMS, AND
STANDARD G1: FIGURES AND THEIR PROPERTIES
STANDARD G3: TRANSFORMATIONS OF FIGURES IN
STANDARD L4: MATHEMATICAL REASONING, LOGIC,
STANDARD G2: RELATIONSHIPS BETW EEN FIGURES
Students will be able to describe and define the purpose and rationale of the course and the skills and knowledge base it is designed to present.
Students will be able to describe the characteristics of a successfully completed project based on previously completed projects.
Mich ig an 9-12 Grad e Math Stran d /Stan d ard L in ked
Students will be able to distinguish the differences between the goals of this class and the type of projects done in other classes.
Engineering
Students will be able to describe and define the structure for evaluating a research project.
Unit 1 Introduction
Students will be able to list examples of levels of performance within the grading structure of this course.
The students will be able to create a resume to record their academic achievements and extra-curricular activities in school.
The students will begin to develop a portfolio of their past accomplishments and research project.
Students will be able to recognize a need for retaining in one location all information relevant to the research project.
Students will be able to identify information encountered in the research process that belongs in the journal.
Students will design a format for the journal, which is well-organized and easy to use.
Students will use their journal as the source for returning to any desired previously encountered information.
Students will be able to use conventional library resources as a starting point for all research.
Students shall be able to choose the appropriate media to obtain the desired information.
Students will be able to distinguish relevant from irrelevant web sites.
Unit 2 Elements of Formation
Students will be able to manipulate search engines to find specific information.
Students will create strategies for identifying key terms that narrow their search topic.
Students will examine on-line databases to search for patents, people, business, Government and Academic information.
Students will correspond by E-mail including the use of attachments.
Students will differentiate between an E-mail address and a Web site address.
Students will be able to compose a business letter and a thank you letter.
Students will define the positive characteristics for personal interviewing. (e.g. courtesy, professionalism, listening skills, personal hygiene, etc.)
Students will develop communication skills that will allow them to converse over the phone and conduct a face to face interview.
The learner will be able to use a decision matrix in narrowing a topic of research.
The students will be able to develop and define constraints and specifications for use in a decision matrix.
X
The student will be able to use a decision matrix to rank order alternatives.
X
The student will be able to use decision matrices to develop a concise problem statement.
X
X
The students will be able to discuss and explain key issues and terminology within their topic area.
The students will be able to narrow the topic focus using the decision matrix.
Unit 3 Guided Research
The students will be able to give an oral presentation.
Based on their research students will be able to develop a problem statement.
X
X
The students will be able to apply the decision matrix to a problem, justifying their problem statements based on previous research findings and decision matrices
Students will be able to generate a list of existing solutions to their research problem.
Using decision matrices, students will be able to evaluate the advantages and disadvantages of present solutions to their research problem.
Following a review of the specifications and constraints identified in their decision matrices, students will be able to develop a list of alternative solutions to their st
The students will be able to conduct preliminary patent searches to determine the originality of their alternative choices.
The students will be able to conduct research to determine the merit of their alternative choices based on the state of the art in the field.
Students will be able to identify techniques for delivering formal presentations.
Students will be able to choose an appropriate formal presentation format and prepare their presentation.
Students will be able to construct and deliver a PowerPoint presentation centered on their topic of research.
The students will be able to define and demonstrate time management planning skills as they pertain to their project.
The student will be able to identify methods and sources for obtaining materials and supplies.
The student will complete an independent research project.
The students will provide a detailed set of instructions for producing a testable prototype based upon their research and the information gained through their resea
The students will be able to identify safe practices for the use of tools and equipment.
The students will be able to create and justify a process for testing their prototype design that will yield valid data concerning the design's attempt at solving their p
The students will review their testing procedures to determine the validity of the testing procedures.
Unit 4 Independent Research
The students will be able to apply the appropriate statistical analysis tools to their test results to ensure their validity and significance.
X
X
X
The students will be able to identify, define, and implement needed modifications to their design based upon their ongoing research.
The students will be able to evaluate and explain the effectiveness of their design at solving the problem that they have defined.
Students will arrange the data and information compiled throughout the project and compose a technical research paper.
X
X
X
Students will use a standardized format for composing their research papers.
The student will be able to discuss their findings in a formal presentation before an audience.
Presentation
Unit 5 Formal
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Basic Tech. Mathematics With Calculus - 10th edition
Summary: This tried-and-true text from Allyn Washington preserves the author's highly regarded approach to technical math, while enhancing the integration of technology. Appropriate for a three- to four- semester course, BASIC TECHNICAL MATHEMATICS WITH CALCULUS shows how algebra, trigonometry, and basic calculus are used on the job. It addresses a vast number of technical and pre-engineering fields, including computer design, electronics, solar energy, lasers fiber o...show moreptics, and the environment. Known for its exceptional problem sets and applied material, the book offers practice exercises, writing exercises, word problems, and practice tests. This edition features more technical applications, over 2300 new exercises, additional graphing calculator screens and the innovative MyLab websites218.75
Used Currently Sold Out
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Paperback 10th Edition text. **CLEAN INSIDE** LIKE NEW, not in plastic. Has no writing/highlighting. Cover may have stickers and varying degrees of wear. If item is ordered after noon on saturday book...show more will ship on the following monday
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Girls have a problem with math. The surprise is that they don't start out that way. Girls in the forth grade are right up there with the boys but by the seventh grade they have fallen behind. Could it be because girls are not confident of their ability in math or because girls have more interest in communicating and see math as a lonely project.
The Intermediate Value Theorem is commonly used on the AP AB Calculus exam, often in one of the free response questions. To see other derivative applications and rules, click Home Page to link to them.
If you've been following my overview of calculus, we just finished with implicit differentiation. But what can we do with implicit differentiation in real life? That is where we get to the section called related rates and, later on, optimization. If you missed the beginning rules in calculus, click Home Page to link out to them.
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Linear Algebra
Intended for the first course in linear algebra, this widely used text balances mathematical techniques and mathematical proofs. It presents theory ...Show synopsisIntended for the first course in linear algebra, this widely used text balances mathematical techniques and mathematical proofs. It presents theory in small steps and provides more examples and exercises involving computations than competing texts
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3DMath Explorer is a tool for piloting mathematical curves. It have many new features different from traditional mathematic piloting programs. Fist of all 3DMath Explorer use 3 dimensional math. space instead of 2 dimensional plane to draw any kind of graph. It is a computer program that pilots 2D and 3D graphs of mathematical functions and curves in an unlimited graphing space.n3DMathExplorer is a very useful program for students to make experiment and observation, for teachers to teach the subjects more interesting and comfortable, for writers to select graphs for their books within more suitable, beautiful and comprehensible graphs, and for all people that interests in this subject to use with ease.nIt has many useful feature such as perspective drawing, graph scaling (zooming), fogging effect, drawing many curves in the same screen, working with many graph screen in the same time, est.nBeyond its great graphics, it has very user friendly graphical user interface. So it is easy to use to work with.
WareZone periodically updates pricing and software information of
3DMath Explorer3DMath Explorer Edition. Download links are directly from our mirror sites or publisher sites,
torrent files or links from rapidshare.com, yousendit.com or megaupload.com are not allowed
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Mathematica - a program designed to perform calculations for the preparation of interactive documents and programming. This tool is used in scientific research, engineering analysis and simulation for training in technical schools.
Wolfram Mathematica 8 is a huge and important release with dramatic breakthroughs—and major broadening of the whole scope of Mathematica.
After 8 versions and 22 years most software systems have decayed to slow and lumbering development. But not Mathematica. In fact, with Mathematica it's quite the opposite. As the years go by, Mathematica development is actually speeding up. Mathematica 8 introduces free-form linguistic input—a whole new way to compute. Enter plain English; get immediate results—no syntax required.
It's a new entry point into the complete Mathematica workflow, now upgraded with 500 additional functions and 7 application areas—including the world's most advanced statistics capability and state-of-the-art image processing. New workflow end points include deployment of standalone applications or interactive documents.
Numerics of any precision, symbolics, or visualization—Mathematica is the ultimate computational tool, with systemwide technology to ensure reliability, ease of use, and performance. Use Mathematica computation directly, as the engine in an infrastructure, or integrated into a standalone application.
Registration info: use working kg's for previous versions
It seems that you need an installed previous version of mathematica 7.0 on the machine in order to use the new one
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Product Details
Proofs in this collection are arranged by topic into five categories: geometry and algebra; trigonometry, calculus, and analytic geometry; inequalities; integer sums; sequences and series. Teachers will find that many of the proofs in this collection are well suited for classroom discussion and for helping students think visually in mathematics.
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+ By BYUNG SOO MOON
This book contains 64 mathematics problems with solutions in the fields of Geometry and Vectors. The problems were selected from the 330 problems taken for the Korea Sunung Suri(ga) mathematics during the period 2003 - 2013. The 330 problems have been classified into one of the five subjects; Mathematics (I), Mathematics (II), Calculus, Geometry with Vectors, and Probability and Statistics. Problems in each subject are published in a separate book. The 64 problems in this book are grouped into 3 chapters; 18 problems in conic sections (parabola, ellipsis, hyperbola), 26 for the space coordinates and three dimensional geometry, and 20 problems for vectors in the plane or the space. The major emphasis in writing solutions to the problems was placed on guiding the solution steps rather than explaining the details. Readers who need detail explanations can ask questions through email address provided in the very first page of this book. The e-mail response service is free for a period of one year from the date of the purchase.
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Explores foundational math concepts that will prepare students for Algebra and more advanced subjects. Material includes decimals, fractions, exponents, integers, percents, inequalities, and some basic geometry. Volume 1 includes the first 6 chapters
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Basic principles of arithmetic: integers, fractions, decimals, ratios, proportions, measurement, percent, descriptive graphs, and basic statistics Course open only to first-year students with ACT mathematics subscore below 17.
091. Basic Algebra
3 Credits
Concepts and techniques of basic algebra with applications. Includes review of arithmetic of real numbers, linear equations and inequalities, polynomials and arithmetic operations on polynomials, factoring, rational expressions and equations, graphs and an introduction into functions 17 or 18, a placement score of 1, or a pass in MA087.
098. Intermediate Algebra
3 Credits
Further study of algebra concepts and techniques with applications. Includes functions and graphs, systems of equations, systems of linear inequalities, radical functions and equations, complex numbers, quadratic functions, exponential and logarithmic functions, and conic sections. Will not satisfy quantitative reasoning requirements of the 19,20, or 21, placement score of 2, or a pass in MA091.
109. Finite Mathematics
3 Credits
Analysis, description and solution of problems arising in business, computer science, and natural and social sciences. Emphasis on mathematical models whose construction and solution involve a finite number of clearly defined steps. Includes an introduction to finite probability and elementary statistics. Topics include matrices, systems of linear equations, linear inequalities, linear programming, functions and their graphs, Markov processes, and game theory. Additional topics may be selected from decision theory, mathematics of finance and networking. Prerequisite: ACT mathematics subscore of 22 or higher, a placement score of at least 3, or a pass in MA098.
Designed to help prepare a prospective elementary school teacher in mathematics. Includes a study, from a problem-solving standpoint, of many topics covered in elementary school mathematics such as natural numbers, whole numbers, rational and irrational numbers, arithmetic operations on these numbers, systems of numeration, language and nature of inductive and deductive reasoning, elements of set theory, informal geometry and elementary number theory. Prerequisite: Elementary of early childhood major or consent of instructor; and ACT mathematics subscore of 25 or higher. a placement score of at least 4, or a pass in MA098.
113. Mathematics Content for Elementary School Teachers II
3 Credits
This second course is designed to help further prepare a prospective elementary school teacher in mathematics. It includes a study, from a problem-solving standpoint, of many topics covered in elementary school mathematics such as geometry, measurement, probability and statistics. Pre-requisites: Elementary of early childhood major or consent of instructor; and ACT mathematics subscore of 25 or higher. a placement score of at least 4, or a grade of C or better in MA110.
115. Trigonometry
3 credits
Study of thew trigonometric functions and their properties, applications to triangles and other geometric figures, and also graphs of trigonometric functions and inverse trigonometric functions. Prerequisite: ACT mathematics subscore 25 or higher.a placement score of at least 4, or a C- or better in MA110.
120. Elementary Probability and Statistics
3 Credits
Introduction to descriptive statistics, relevant concepts in probability including random variables and their distributions, sampling, inferential statistics and regression. Applications to several disciplines. Prerequisite: ACT mathematics subscore of 25 or higher, placement score of at least 4, or grade of C- or better in either MA109 or MA110.
140. Calculus I
4 Credits
Differential and integral calculus of the elementary functions with associated analytic geometry; concepts of limit, continuity, derivative and integral; applications of the derivative as rate of change, slope and solving max-min problems. Prerequisite: Successful completion of calculus readiness exam, or a grade of C- or better in MA115.
Topics will include probability, risk theory, financial mathematics and basic accounting as used by actuaries in insurance companies. This course is one component in the preparation of actuarial students for internships with insurance companies. Prerequisite: ACT mathematics subscore of 25 or higher, placement score of at least 4, or grade of C- or better in either MA109 or MA110, or consent of instructor.
220. Statistical Methods
3 Credits
Introduction to major methods of applied statistics. Topics may include simple and multiple regression, analysis of variance and co- variance, model specification and residual analysis, nonparametric inference, experimental design, survey sampling, multivariate analysis and Bayesian inference. Prerequisite: a grade of C- or better in MA120.
225. Time Series
2 Credits
Introduction to modeling time series data using smoothing techniques, regression, and autoregressive models. Estimation, data analysis and forecasting using real data will be examined. Prerequisite: MA 220.
240. Calculus II
4 Credits
Applications of definite integral and Fundamental Theorem of Calculus, methods of integration, integrals of inverse trigonometric functions, logarithmic and exponential functions, the use of polar coordinates, infinite series, power series, Taylor series and Fourier series. Prerequisite: a grade of C- or better in MA140.
301. College Geometry
3 Credits
Elements of plane and solid geometry treated from both a synthetic and metric approach, historical development of geometry, parallelism and symmetry, area and volume, other geometrics including hyperbolic non-Euclidean geometry, projective geometry and finite geometries. Prerequisite: a grade of C- or better in MA140.
Continuation of Mathematics 304 with an emphasis on multivariate distributions, estimation and tests of statistical hypotheses. Students who complete the course will have the opportunity to be prepared for the first actuarial statistics examination. Prerequisite: Mathematics 304.
320. History of Mathematics
3 Credits
A study of major developments in the history of mathematics and in the mathematical contributions of non-Western cultures. The interplay between mathematics and culture is emphasized. Prerequisite: a grade of C- or better in MA140 or consent of instructor.
Microteaching and structured classroom participation required. The course focuses on teaching standards based mathematics content with the inclusion of appropriate technologies. Required for both middle school and high school Illinois Mathematics Teacher Certification. Prerequisites: a grdae of C or better in MA140 plus grades of C or better in an additional 9 hours of mathematics above MA140, junior or senior standing, admission to the School of Education, and consent of instructor.
440. Advanced Calculus
3 Credits
A rigorous treatment of fundamental analysis concepts. Includes topology of the real number system, limits, continuity, sequences, differentiability, and integrability. Prerequisite: MA 303 and MA 340, or consent of instructor.
471. Internship in Methods of Teaching Mathematics
3 Credits
Students learn methods of teaching mathematics in a classroom situation under the supervision of a member of the department. Includes methods of course organization, presentation, and assessment and the use of technology in teaching mathematics. Prerequisite: Junior mathematics major and approval of instructor and Department chair.
472. Internship
3 Credits
An on-the-job professional experience working for an organization, business or University department during an academic semester. A supervised work experience in which the superior student's mathematical background is used in an actual working environment. Prerequisite: Junior mathematics major and approval of instructor and Department chair.
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An Internet site to help high school students (grades 10-12) of all levels with math skills. Programs such as Algebra 1 offer an interactive guide through a course and help students build up math skills and confidence. Math Programs are 4-6 week curricula, the pace, difficulty and schedule of which are fully customizable. Discussion groups serve as a meeting place for students, parents and teachers. Free homepage hosting for individuals and schools; pointers to useful math materials; links, games and weekly puzzles for math students.
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More from this developer
Description
Developed by Loughborough University, the mathscard app contains hundreds of examples of pure maths formulae and graphs/diagrams. Designed specifically for AS and A2 Level maths, the mathscard app is based on the hugely successful award-winning mathscard fold-out formulae sheet and is designed to help students with their exam revision when at home or on the move. Vectors, numerical methods, circle and coordinate geometry, sequences and series, algebra and graphs, trigonometry and calculus are all covered in this handy resource.
User Reviews
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Math.NET aims to provide a self contained clean framework for symbolic mathematical (Computer Algebra System) and numerical/scientific computations, including a parser and support for linear algebra, complex differential analysis, system solving and more
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Pre-Calculus: Exponents and Logarithms Help & Problems
Find study help on exponents and logarithms for pre-calculus. Use the links below to select the specific area of exponents and logarithms you're looking for help with. Each guide comes complete with an explanation, example problems, and practice problems with solutions to help you learn exponents and logarithms for pre-calculus.
Study Guides Logarithms
A common question for investors is, "How long will it take for my investment to double?" If $1000 is invested so that it earns 8% interest, compounded annually, how long will it take to grow to $2000? To answer the question ...
Introduction to Simple Exponent and Logarithm Equations
Equations with exponents and logarithms come in many forms. Sometimes more than one strategy will work to solve them. We will first solve equations of the form "log = number" and "log = ...
Introduction to Exponents and Logarithmic Equations
For some logarithmic equations, a solution might be extraneous solution. That is, such a solution is a solution to the rewritten equations but not to the original equations. Some solutions to the rewritten ...
Introduction to The Change of Base Formula
There are countless bases for logarithms but calculators usually have only two logarithms—log and ln. How can we use our calculators to approximate log 2 5? We ...
Introduction to Applications of Logarithm and Exponential Equations
Now that we can solve exponential and logarithmic equations, we can solve many applied problems. We will need the compound growth formula for an investment earning interest rate r , ...
Introduction to Finding the Growth Rate
We can find the growth rate of a population if we have reason to believe that it is growing exponentially and if we know the population level at two different times. We will use the first population level as n
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...For example, I strive to help students discover which study environments are most stimulating or distracting, and which learning style is dominant (visual, auditory, or tactile). When a student has a better understanding of how he/she learns, his/her self-confidence and sense of empowerment incr...
...I hope I can do the same for you. Best regards,
BenMany different sources attempt to define the term "Algebra 2". Many of the definitions include items like systems of one, two, and three terms; equations and inequalities; quadratic equations; series; and other terms.
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History of Mathematics An Introduction
9780072885231
ISBN:
0072885238
Publisher: McGraw-Hill Higher Education
Summary: This text is designed for the junior/senior mathematics major who intends to teach mathematics in high school or college. It concentrates on the history of those topics typically covered in an undergraduate curriculum or in elementary schools or high schools. At least one year of calculus is a prerequisite for this course. This book contains enough material for a 2 semester course but it is flexible enough to be used... in the more common 1 semester course.
Burton, David M. is the author of History of Mathematics An Introduction, published under ISBN 9780072885231 and 0072885238. Nineteen History of Mathematics An Introduction textbooks are available for sale on ValoreBooks.com, eighteen used from the cheapest price of $5.75, or buy new starting at $54
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Algebra and Trigonometry - With 2 CDs - 4th edition
Summary: Bob Blitzers unique background in mathematics and behavioral sciences, along with his commitment to teaching, inspired him to develop a precalculus series that gets students engaged and keeps them engaged. Presenting the full scope of the mathematics is just the first step. Blitzer draws students in with vivid applications that use math to solve real-life problems. These applications help answer the question When will I ever use this? Students stay engaged because the book helps them...show more remain focused as they study. The three-step learning systemSee It, Hear It, Try Itmakes examples easy to follow, while frequent annotations offer the support and guidance of an instructors voice. Every page is interesting and relevant, ensuring that students will actually use their textbook to achieve59851 Has moderate shelf and/or corner wear. Great used condition. Includes CD-ROM. Has some water damage. We are a tested and proven company with over 900,000 satisfied customers since 1997. Ch...show moreoose expedited shipping (if available) for much faster delivery. Delivery confirmation on all US orders. ...show less
$52
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Your solution to MATH word PROBLEMS! Find yourself stuck on the tracks when two trains are traveling at different speeds? Help has arrived! Math Word Problems Demystified, Second Edition is your ticket to problem-solving success. Based on mathematician George Polya's proven four-step process, this practical guide helps you master the basic procedures and develop a plan of action you can use to solve many different types of word problems. Tips for using systems of equations and quadratic equations are included. Detailed examples and concise explanations make it easy to understand the material, and end-of-chapter quizzes and a final exam help reinforce learning. It's a no-brainer! You'll learn to solve: Decimal, fraction, and percent problems Proportion and formula problems Number and digit problems Distance and mixture problems Finance, lever, and work problems Geometry, probability, and statistics problems Simple enough for a beginner, but challenging enough for an advanced student, Math Word Problems Demystified, Second Edition helps you master this essential mathematics skill.
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Mathematics for Economists
9780393957334
ISBN:
0393957330
Pub Date: 1994 Publisher: Norton, W. W. & Company, Inc.
Summary: An abundance of applications to current economic analysis, illustrativediagrams, thought-provoking exercises, careful proofs, and a flexibleorganization-these are the advantages that Mathematics for Economists brings to today's classroom.
Simon, Carl P. is the author of Mathematics for Economists, published 1994 under ISBN 9780393957334 and 0393957330. Four hundred fifty nine Mathematics for Economists textb...ooks are available for sale on ValoreBooks.com, one hundred six used from the cheapest price of $76.14, or buy new starting at $129.23
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Precalculus with Trigonometry and Analytical Geometry
Description
This text provides a strong foundation for work with functions that culminates with an introduction to the calculus topics of the derivative and the integral. Beginning with a review of basic trignometry, the study progresses to advanced topics including functions, identities, and trigonometric equations. Development of analytical geometry topics include a logical approach to the study of lines, conics, quadric surfaces, polar coordinates, and parametric equations. Colorful graphs in one, two, and three dimensions illustrate the concepts and provide a frame of reference for discussion. Helpful tips and example problems show step-by-step solutions that aid in understanding and problem solving. Balanced exercises in each chapter provide ample opportunity for students to understand both the algebraic solution and practical application of problem solving
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Linear Algebra is both rich in theory and full of interesting applications (from simplifying internet search algorithms to...
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Linear Algebra is both rich in theory and full of interesting applications (from simplifying internet search algorithms to managing air traffic); in this course the student will try to balance both. This course includes a review of topics learned in Linear Algebra I. This free course may be completed online at any time. See course site for detailed overview and learning outcomes. (Mathematics 212)
What is Math4Mobile? The Math4Mobile project examines the opportunities of ubiquitous and personal technologies for...
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What is Math4Mobile? The Math4Mobile project examines the opportunities of ubiquitous and personal technologies for educational purposes, specifically of using the mobile phone for teaching and learning mathematics.What are the Math4Mobile applications? There are 5 Java (J2ME) applications that are designed to help you learn intuitivelly about mathematical concepts in different fields using your mobile phone. These are free apps.
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Math for Morons Like Us: Algebra II; Trigonometric Identities
Resource Type(s): Reference / Free Tool
This is a web site designed to explain and help clear up common problems many people face in Algebra, such as the double angle identities and the half-angle identities. Explanations and definitions with examples provided for each topic are followed by a quiz. This is part of a larger site that includes these sections: Pre-Algebra, Algebra, Geometry, Algebra II, and Pre-Calc/Calculus. Publisher: ThinkQuest Team 20991.
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Advanced Algebra Regents Video Tutorials
This page is for advanced algebra students who need help, and for teachers and tutors who are looking for video tutorials on regents.
how to do june 2009 algebra regents question 35 video, algebra Regents with explanations
Advanced Algebra Regents Video Tutorials
Many students learning advanced algebra find regents difficult. They feel overwhelmed with regents homework, tests and projects. And it is not always easy to find regents tutor who is both good and affordable. Now finding regents help is easy. For your regents homework, regents tests, regents projects, and regents tutoring needs, TuLyn is a one-stop solution. You can master hundreds of math topics by using TuLyn.
At TuLyn, we have hundreds of video tutorial clips including regents videos.
Our regents videos replace text-based tutorials and give you better step-by-step explanations of regents. Watch each video repeatedly until you understand how to approach regents problems and how to solve them.
Hundreds of video tutorials on regents make it easy for you to better understand the concept.
this website is the best it really is. It is nice to see a movie and not just to study from a worksheet. And all these worksheets that you can print out and work on is the best help of all June 14, 2009, 1:27 pm
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gattMath is a educational math (graphical) program that show some concepts behind Integral and Differential Calculus, like Riemann, Simpson, Darboux, Trapezoid, Monte-Carlo integration, derivative, antiderivative, tangent,..., and sure a plotter
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Beginning Algebra plus MyMathLab/MyStat consists of the textbook plus an access kit for MyMathLab/MyStatLab. #xA0; Is there anything more beautiful than an #x1C;A#x1D; in Algebra?Not to the Lial team! Marge Lial, John Hornsby, and Terry McGinnis write their textbooks and accompanying resources with one goal in mind: giving students and teachers all the tools they need to achieve success. #xA0; With this revision, the Lial team has further refined the presentation and exercises throughout the text. They offer several exciting new resources for students and teachers that w... MOREill provide extra help when needed, regardless of the learning environment (classroom, lab, hybrid, online, etc)#x13;new study skills activities in the text, an expanded video program available in MyMathLab and on the Video Resources on DVD, and more! #xA0; MyMathLabprovides a wide range of homework, tutorial, and assessment tools that make it easy to manage your course online.
Note: each chapter concludes with a Chapter Summary, Chapter Review Exercises, Chapter Test, and after Chapter 1, a set of Cumulative Review Exercises.
Chapter 3: Linear Equations and Inequalities in Two Variables; Functions
3.1 Linear Equations in Two Variables; The Rectangular Coordinate System
Study Skills: Managing Your Time
3.2 Graphing Linear Equations in Two Variables
3.3 The Slope of a Line
3.4 Writing and Graphing Equations of Lines
Summary Exercises on Linear Equations and Graphs
3.5 Graphing Linear Inequalities in Two Variables
3.6 Introduction to Functions
Study Skills: Analyzing Your Test Results
Chapter 4: Systems of Linear Equations and Inequalities
4.1 Solving Systems of Linear Equations by Graphing
4.2 Solving Systems of Linear Equations by Substitution
4.3 Solving Systems of Linear Equations by Elimination
Summary Exercises on Solving Systems of Linear Equations
4.4 Applications of Linear Systems
4.5 Solving Systems of Linear Inequalities
Chapter 5: Exponents and Polynomials
5.1 The Product Rule and Power Rules for Exponents
5.2 Integer Exponents and the Quotient Rule
Summary Exercises on the Rules for Exponents
5.3 An Application of Exponents: Scientific Notation
5.4 Adding and Subtracting Polynomials; Graphing Simple Polynomials
5.5 Multiplying Polynomials
5.6 Special Products
5.7 Dividing Polynomials
Chapter 6: Factoring and Applications
6.1 The Greatest Common Factor; Factoring by Grouping
6.2 Factoring Trinomials
6.3 More on Factoring Trinomials
6.4 Special Factoring Techniques
Summary Exercises on Factoring
6.5 Solving Quadratic Equations by Factoring
6.6 Applications of Quadratic Equations
Chapter 7: Rational Expressions and Applications
7.1 The Fundamental Property of Rational Expressions
7.2 Multiplying and Dividing Rational Expressions
7.3 Least Common Denominators
7.4 Adding and Subtracting Rational Expressions
7.5 Complex Fractions
7.6 Solving Equations with Rational Expressions
Summary Exercises on Rational Expressions and Equations
7.7 Applications of Rational Expressions
7.8 Variation
Study Skills: Preparing for Your Math Final Exam
Chapter 8: Roots and Radicals
8.1 Evaluating Roots
8.2 Multiplying, Dividing, and Simplifying Radicals
8.3 Adding and Subtracting Radicals
8.4 Rationalizing the Denominator
8.5 More Simplifying and Operations with Radicals
Summary Exercises on Operations with Radicals
8.6 Solving Equations with Radicals
8.7 Using Rational Numbers as Exponents
Chapter 9: Quadratic Equations
9.1 Solving Quadratic Equations by the Square Root Property
9.2 Solving Quadratic Equations by Completing the Square
9.3 Solving Quadratic Equations by the Quadratic Formula
Summary Exercises on Quadratic Equations
9.4 Complex Numbers
9.5 More on Graphing Quadratic Equations; Quadratic Functions
Appendix: Sets
Marge Lial was always), and has been an avid both
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Challenges in Geometry
for Mathematical Olympians Past and Present
Christopher J. Bradley
Description
The International Mathematical Olympiad (IMO) is the World Championship Competition for High School students, and is held annually in a different country. More than eighty countries are involved.
Containing numerous exercises, illustrations, hints and solutions, presented in a lucid and thought- provoking style, this text provides a wide range of skills required in competitions such as the Mathematical Olympiad.
More than fifty problems in Euclidean geometry involving integers and rational numbers are presented. Early chapters cover elementary problems while later sections break new ground in certain areas and area greater challenge for the more adventurous reader. The text is ideal for Mathematical Olympiad training and also serves as
a supplementary text for student in pure mathematics, particularly number theory and geometry.
Dr. Christopher Bradley was formerly a Fellow and Tutor in Mathematics at Jesus College, Oxford, Deputy Leader of the British Mathematical Olympiad Team and for several years Secretary of the British Mathematical Olympiad Committee.
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eTextbook
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180 day digital rental
$87.4916My calculus class was at 7:30am, meaning I only made it to class once a month. This book was so well written that I received a B in the class!
While in high school I had trouble with the concepts of differential and intergal calculus, this textbook helped me grasp the idea. Although I probably won't ever use any of the math I learned in this textbook, at least I know it. Maybe my brain is a little larger now...
Summary
The Larson Calculus program has a long history of innovation in the calculus market. It has been widely praised by a generation of users
Table of Contents
Preparation for Calculus
Graphs and Models
Linear Models and Rates of Change
Functions and Their Graphs
Fitting Models to Data
Limits and Their Properties
A Preview of Calculus
Finding Limits Graphically and Numerically
Evaluating Limits Analytically
Continuity and One-Sided Limits
Infinite Limits
Section Project: Graphs and Limits of Trigonometric Functions
Differentiation
The Derivative and the Tangent Line Problem
Basic Differentiation Rules and Rates of Change
The Product and Quotient Rules and Higher-Order Derivatives
The Chain Rule
Implicit Differentiation
Section Project: Optical Illusions
Related Rates
Applications of Differentiation
Extrema on an Interval
Rolle's Theorem and the Mean Value Theorem
Increasing and Decreasing Functions and the First Derivative TeSt. Section Project: Rainbows
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The Algebra 2 Tutor DVD Series teaches students the core topics of Algebra 2 and bridges the gap between Algebra 1 and Trigonometry, providing students with essential skills for understanding advanced mathematics.
This lesson teaches students how to graph equations on the coordinate plane. The 'x' and 'y' coordinates are presented along with the concept of an ordered pair. This information is used to teach students how to set up a table of values to plot graphs of functions. Grades 8-12. 39 minutes on DVD.
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Beginning Algebra
9780321784919
ISBN:
032178491X
Edition: 6th Revise Pub Date: 2011 Publisher: Pearson Education
Summary: Written by Elayn Martin-Gay, Beginning Algebra was released in 2011 in this 6th revised format. Complete with plenty of new material compared to earlier versions, you can find out more about getting to grips with algebra and learning how to start in the right way. Published by Pearson Education, this text book is available at the cheapest prices. Buy Beginning Algebra online now and take advantage of the lowest price...s on previously owned text books. Sell back your copy now if you already own it and make the most of a good deal. Try Valore Books for Beginning Algebra deals now.
Martin-Gay, Elayn is the author of Beginning Algebra, published 2011 under ISBN 9780321784919 and 032178491X. Eight hundred thirty five Beginning Algebra textbooks are available for sale on ValoreBooks.com, two hundred thirty five used from the cheapest price of $60.98, or buy new starting at $123.85
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Introduction to
MATLAB 7
Engineering 161
Engineering Practices II
Joe Mixsell Spring 2010
MATLAB Properties I
• MATLAB is a very powerful mathematical
computational tool.
• MATLAB comes from MATrix LABoratory
• MATLAB provides extensive capabilities
for generating graphs
• MATLAB is applicable to a broad range of
engineering problems
MATLAB Properties II
• MATLAB supports an interactive and a
programming environment
• Think of the interactive environment as a
"super calculator" with graphics
• Think of the programming environment as
tool for writing programs to perform
complex calculations
MATLAB Properties III
• Where does MATLAB fit?
– It is usually easier to write programs in
MATLAB as compared to C or Fortran
– C or Fortran programs will usually run faster
than MATLAB programs
– But, MATLAB is optimized for matrix
manipulations and programs formalized in this
way will run faster than similar programs in C
or Fortran
Resources
• Text: MATLAB for Engineers
• Notes: MATLAB Notes and
Assignments
• Website:
• Website:
• Student Edition of MATLAB 7 ($99)
• Computer Lab
Course of Study
• MATLAB Environment Chp. 2
• Built-In MATLAB Functions Chp. 3
• Manipulating MATLAB Matrices Chp. 4
• Plotting Chp. 5
• User Defined Functions Chp. 6
• User Controlled Input and Output Chp. 7
• Logical Functions and Control Structures Chp. 8
• Matrix Algebra Chp. 9
• Symbolic Mathematics Chp. 11
• Polynomials/Curve Fitting Chp. 12
MATLAB Assignments
• Chp. 2: 2.10, 2.12, 2.13, 2.14
• Chp. 3: 3.3, 3.11, 3.12, 3.16
• Chp. 4: 4.1, 4.7, 4.11
• Chp. 5: 5.3, 5.4, 5.6, 5.17, 5.26
• Chp. 6: 6.4, 6.7, 6.8
• Chp. 7: 7.5, 7.6, 7.9, 7.13, 7.15
• Chp. 8 8.1, 8.2, 8.4, 8.9, 8.16, 8.23, 8.27
• Chp. 9: 9.18, 9.19
• Chp. 11: 11.9, 11.10, 11.17, 11.22, 11.29, 11.30, 11.32
Programming Assignment- Project #1
• In this project you use MATLAB's built in
function rand to determine how many times on
average you have to flip a coin to get a string of
say 6 or 7 heads in a row.
This assignment is listed as Project #10 on the
website.
Programming Assignment- Project #2
• This project explores 3-D plotting. You will be
determining the electric field strength (E-field)
developed by several electric charges lying on a
flat surface, then plot the field strengths as a
function of position. This assignment will give you
some familiarity with 3-D plotting and the power
of MATLAB to visualize solutions. This is listed
as project #11 on the website.
Assignments
• The percent symbol % is used to define a
comment, use this following the MATLAB
prompt to add your name and assignment
number to your work
>>% Joe Mixsell
>>% Assignment 3.4
Assignments
• Many assignment require you to print the
Edit window, the Command Window and the
Figure window(s). Just print them all and
staple them together when you turn them
in. Remember to clear the command
window before your final run to start with
a clean slate.
More on Assignments
• The first few assignments can easily
be done with paper and pencil and a
calculator but you need to do them
using MATLAB. Only outputs from
MATLAB will be accepted.
An Engineering Problem-Solving Methodology
• Step 1: State the problem clearly.
• Step 2: Describe the inputs and outputs.
• Step 3: Work the problem by hand with a
set of simple data.
• Step 4: Develop the MATLAB solution
• Step 5: Test the solution with real data
Getting Started
Example 1
d = ½ * g * t^2
where d is the distance a body falls freely in a gravitation field during t
seconds.
Example 2
x(t) = exp (-alpha * t ) * cos ( omega * t )
i.e, our suspension system we studied previously briefly using Excel
Example I
• Using MATLAB we want to create a
table of values of time and distance
for time increments between 0 and
10 seconds.
Example II
• Using MATLAB we'll do an analysis of
a suspension system and plot position
versus time as the system responds
to an initial displacement.
Continuing with today's
Discussion
• MATLAB Help and Demos
• Introduce various MATLAB windows
• Use the Command Window
• Use the Edit Window
• View results in the Command Window
and the Graphics Window
Discussion Next Class- Chapter 2-
MATLAB Environment
• MATLAB variables
• Working with Matrices
• Scalar Operations
• Precedence of Arithmetic Operators
• Array Operations
• Saving your Work
– Saving Variables
– M-files (Writing and saving programs)
MATLAB Discussion Sequence
• To prepare for the projects we will complete
Chapters 2, 3, and 4 then jump to Chapter 6, 7
and 8 for several programming topics (functions,
input statements, for loops and if statements ).
At this point the first project will be assigned.
Then back to Chapter 5 on plotting, continuing
from that point.
Scheduling our Midterm
• Assume we'll set the midterm date to be in
early part of March. It will include Excel,
Powerpoint and MATLAB up to that point.
• We'll finalize the date in a couple weeks.
And now . . .
OFF TO MATLAB…
Learn by doing
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Book Description: This text emphasizes the intelligent application of approximation techniques to the type of problems that commonly occur in engineering and the physical sciences. Students learn why the numerical methods work, what type of errors to expect, and when an application might lead to difficulties. The authors also provide information about the availability of high-quality software for numerical approximation routines. The techniques are essentially the same as those covered in the authors' top-selling Numerical Analysis text, but in this text, full mathematical justifications are provided only if they are concise and add to the understanding of the methods. The emphasis is placed on describing each technique from an implementation standpoint, and on convincing the student that the method is reasonable both mathematically and computationally
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Edexcel AS Economics has been written specifically to meet the needs of AS students following the Edexcel specification. The book provides...... more
Edexcel AS Economics has been written specifically to meet the needs of AS students following the Edexcel specification. The book provides comprehensive up-to-date coverage of the subject content while recognising that AS students will probably be meeting economics for the first time. Carefully structured around the Edexcel specification, Edexcel AS Economics combines clear and concise explanation and analysis of economic terms and concepts with frequent examples that show the application of those concepts to real-world situations. Exercises throughout the book enable students to engage in economic analysis in an active way that assists learning. Commentary on these exercises together with additional questions and discussion points are available in an accompanying Teacher Guide that can be purchased separately. This highly accessible yet authoritative book is essential reading for all AS students following the Edexcel specification.
Tailored to the GCSE 2009 specification, this Student Book is written in consultation with senior examiners and experienced teachers including Ginny Spooner as...... more
Tailored to the GCSE 2009 specification, this Student Book is written in consultation with senior examiners and experienced teachers including Ginny Spooner as Consultant to ensure you have all the support needed to deliver the specification with confidence.
Oxford A Level Mathematics for Edexcel covers the latest 2008 curriculum changes and also takes a completely fresh look at presenting the challenges of...... more
Oxford A Level Mathematics for Edexcel covers the latest 2008 curriculum changes and also takes a completely fresh look at presenting the challenges of A Level. It specifically targets average students, with tactics designed to offer real chance of success to more students, as well as providing morestretch and challenge material. This Core book includes a background knowledge chapter to help bridge the gap between AS and A2 study, as well as a free CD containing a wealth of further practice material and worked solutions
Related tags for Edexcel »
Reviews »
Advantages: A lot of information, explained clearly, covers all units Disadvantages: Could have more colour
...When I was studying ALevel Maths it required me to have a lot of textbooks available for studying and most of the time to prepare for exams with. For my exams in Mathematics, I was given the textbook Edexcel AS and A Level Modular Mathematics by Keith Pledger, however if you have to purchase it, they are around as expensive as most textbooks are at £15. I was quite glad that it combined both...
Advantages: Taking advanatge of the resits opportunity. Disadvantages: Exam board / government calamities result in unfairness to pupils, blighting their opportunities...
...Before you start, I have spent the last half an hour trying to find a suitable category to put this essay into...
"Oh it's an Edexcel paper. That'll be why I got an E instead of an A"
An 18 year old A Level student explains why our education system is now in a state of chaos.
Written on 12th August 2002, days before A Level results were released...
The British education system at one...
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"The Role of Calculators in Math Education Research" compiled by Heidi Pomerantz, Rice University under the direction of Bert Waits, Professor Emeritus - Dept of Mathematics Ohio University,.
Preface
This document outlines the benefits of calculator use in mathematics classrooms from Kindergarten through the University level. Calculators are tools for doing mathematical computations. This document describes how calculators, when used appropriately, can also be a tool for learning mathematics. Appropriate use of calculators is a way of increasing the amount and the quality of learning afforded students during the course of their mathematics education.
Introduction
Since its invention over thirty years ago, the electronic calculator has evolved from a machine that could only perform simple four-function operations (addition, subtraction, multiplication, division) into one that can now also execute highly technical algebraic symbolic manipulations instantly and accurately. Each new generation of calculators builds on the previous one with heightened speed and more advanced capabilities. At the same time, the cost of a basic calculator has dropped so low that virtually every household in the United States can afford at least one.
Calculators allow students access to mathematical concepts and experiences from which they were previously limited with only paper and pencil. Because calculators make possible mathematical exploration, experimentation, and enhancement of learning mathematical concepts, the National Council of Teachers of Mathematics (NCTM) and various other organizations and individuals recommend that appropriate calculators be made available for use by students at every grade level from Kindergarten through college. Despite the extensive research documenting the benefits of calculator use, there are still many skeptics who worry that calculator use will impair students mathematical ability and result in increased mathematical illiteracy.
The reality, however, is that calculators are valuable educational tools that allow students to reach a higher level of mathematical power and understanding. By reducing the time that, in the past, was spent on learning and performing tedious paper-and-pencil arithmetic and algebraic algorithms, calculator use today allows students and teachers to spend more time developing mathematical understanding, reasoning, number sense, and applications. Four-function, scientific, and graphing calculators, as well as calculators with computer symbolic algebra manipulation capability provide new pedagogical enhancement opportunities. They afford students learning tools that complement but does not replace, mental and paper-and-pencil skills and they expand student's ability to solve problems by providing multiple solution techniques.
Rote computations and tedious algebraic manipulations have historically turned many students away from mathematics. The subject of mathematics has traditionally been thought of as memorising formulas and substituting numbers in equations, drilling endlessly, and performing long, monotonous computations. The students who could perform these manipulations and computations quickly and accurately were considered to be mathematically inclined; those who were turned off by the mechanical operations were thought to be poor math students. Calculator technology allows students whom would ordinarily be frustrated or bored by these tedious manipulations to have access to the real mathematics itself, thus gaining a higher level of mathematical understanding, rather than giving up. The fact is, calculators are better tools to do some of the computations and manipulations that were once done with paper and pencil. In the past, paper and pencil were the only tools available. Appropriate use of technology and associated peagogy will get more students thinking and reasoning mathematically. Thus more people will develop useful mathematical understanding and mathematical power.
Calculators now come in a number of sizes and styles, and they cover a tremendous range of capabilities, functions, and prices. Despite the myths of harmful consequences resulting from their use, calculator is a pedagogical tool of great value. Teachers of different grade levels and the general public harbor varying preconceived beliefs as far as the use of calculators in the classroom is concerned. Fears regarding the ill effects of calculators use, however, are unfounded. Research has proven that calculators are beneficial to students at every level of education. ( Specific references are located in footnotes at the end of the last three modules) Calculators serve as an equaliser in mathematics education. Not only do they allow students who would ordinarily be turned off by traditional mathematics' tedious computations and algorithms to experience true mathematics, but they also help students to more quickly and readily develop number sense, gain mathematical insight and reasoning skills, value mathematics, and cultivates mathematical understanding, while they enjoy what they are learning.
Dispelling the Myths
Greatly impeding the universal acceptance of calculators into classrooms are the myths that exist regarding calculator use. These myths only serve to slow the inevitable implementation of technology in classrooms and put students at a disadvantage in a world that is rapidly embracing technology. Evidence from research has proven calculators to be effective learning tools; yet, because of the circulation of misinformation with regard to their use, many people continue to believe they are harmful. It is important that these myths are addressed, so calculators can be appropriately incorporated into curricula from kindergarten through the university level.
Myths :
1. Calculators are a crutch….. they do the work for the student
2. Because calculators do all of the work for the student, he/she will not be stimulated or challenged enough.
3. " If I didn't need to use technology to learn math, then neither does my child"
5. People will become so dependent on calculators that they will be rendered helpless without one.
Myth # 1:
Calculators are a crutch : They are used because students are too lazy to compute the answers on their own; they do the work for the student. There is almost no mathematical thinking involved in doing rote computations. A real comprehension of mathematics comes as a result of understanding what the question is asking, knowing how to set up the problem, deciding which operations are appropriate and determining whether or not the answer obtained makes sense. Calculators are simply tool students use to help solve problems. Since they eliminate tedious computations and algebraic manipulations that discourage many student, calculators allow more students to solve problems and appreciate the power and value of mathematics in the world today. When used appropriately, calculators enhance learning and thinking, they do not replace it.
Myth #2 :
Because calculators do all of the work for the student, he/she will not be stimulated or challenged enough. Calculators do only the low-level tasks of computation - they do not "think" calculators can speed up the learning process. Students understanding the appropriate use of calculators experience more time to explore challenging and interesting mathematics. Calculators permit students to work enough problems to discover and observe patterns in mathematics, which were seldom seen when computations were done by tedious paper and pencil methods. Students will also be able to focus on useful, practical applications for the theories and concepts they learn in class. In the past, many students in mathematics were doing little more than memorizing rules and formulas; they were doing little thinking, problems solving, or reasoning. With appropriate use of calculators, many more students will have the opportunity to get past the mechanics of computation and manipulation and learn about the true meaning and value of mathematics.
Myth # 3:
"If I didn't need to use technology to learn math, then neither does my child. After all, I turned out just fine." Because the calculator technology that exists today was not present a generation ago, all computations had to be worked out with pencil and paper in a series of long, tedious steps. The world has rapidly moved in the direction of technology, however, and technology has rendered obsolete many of the techniques and methods that were used previously. Because of technology, more students are now able to explore territories in mathematics that are still uncharted, and they are able to do 'real" mathematics and understand its meaning and value. Often the parents who argue against the use of technology in mathematics classes simply have a fear of the unknown. They remember mathematics as consisting of drills, algorithms, and paper-and-pencil manipulations. However, calculators have eliminated the need for great skill in paper-and-pencil arithmetic computation and algebraic manipulation - items that used to be the core of a "proper" mathematics education. Computations that took several minutes and many sheets of notebook paper before can now be executed with the touch of a button. Since technology is being implemented in classrooms all over the world, all students must begin to understand technology and its appropriate use now, in order to learn the new technology core skills that will be necessary in the future.
Myth #4:
The use of calculators prevents students from effectively learning the basic mathematics they will need when they enter the workforce. Calculators facilitate the mathematics learning process by eliminating tedious and needless paper-and-pencil calculations. However, they also familiarize students with technology, increasing their comfort level with technology and giving them a competitive advantage over those who have never been exposed to technology. Moreover, this understanding of the benefits and limitations of technology, as well as a general knowledge of how it operates will increase openness and willingness to use new forms of technology. Employers want employees who can think, work cooperatively, solve problems using the most effective methods ( technology when appropriate), and communicate " solutions" effectively.
Myth # 5
People will become so dependent on calculators that they n when no calculator is available ?). It is very important that mental calculations as well as estimation and some paper-and-pencil skills continue to be taught in schools, when those are the most appropriate methods for solving problems. Such skills are necessary in the mathematical learning process. These skills will also come in handy when a calculator is not available and when it is necessary to determine the appropriateness of a calculator result. The fact is, calculators are more efficient and accurate at performing many computwill be rendered helpless without one. (e.g. What if the battery dies or the student has to perform a computatioations, and they are inexpensive and portable enough to keep in one's purse, pocket, car or office.
Despite all of their benefits and capabilities, calculators will never be able to replace the human mind when it comes to knowing how to read and understand a problem situation, writing an appropriate equation for the problem, choosing which operations to use to solve the problem, correctly interpreting the solution displayed on the calculator, and determining the appropriateness of the answer. Calculators are only as effective as the information students enter into them. Calculators, in conjunction with mental, paper-and-pencil and estimation skills when appropriate, comprise the tools to help students work through the computations and manipulations necessary for solving problems. Calculators are like computer word processors to English students. Computer word processors do not "create" essays but they do considerably facilitate the creation of an essay. Calculators do not "understand" mathematics but they do considerably facilitate the understanding of mathematics. Despite all of their capabilities, however, they will never replace the important, complex thought processes of which only humans are capable.
When students work with graphing calculators, they have the potential to work much more intelligently than they could if they were not using this valuable resource; they form an "intelligent partnership" with the graphing calculator (Jones, 1996). Research has shown that graphing calculators can improve classroom dynamics, boost students' confidence levels, and promote the understanding of mathematical concepts and functions, and advance problem-solving ability. That is not to say that mental arithmetic and paper-and-pencil and estimation skills are no longer valuable - they are. But there must be a balance. It important to use the tool that is most appropriate for the job. When they are used appropriately, graphing calculators do not pose a threat to students' ability to perform algebraic manipulations or procedure.
Graphing calculators help students visualize problems, discover mathematical theorems on their own, instantly check the validity of their answers, test out their own hypotheses, and explore different ways of solving problems. Graphing calculators allow topics to be discovered by students on their own, even before the teacher formally introduces them. They facilitate an active approach to learning, converting a classroom from a place where students sit back passively listening to the instructor, to one where students work with their classmates and produce their own ideas and solutions. Graphing calculators improve communication among students, and they allow students a faster, better way to produce graphs; this is a much more efficient, accurate method than drawing graphs by paper and pencil alone.
Computer graphing (e.g. using graphing calculators) provides an important new teaching and learning paradigm : Graphs can now be used to study math. In the past, students studied advanced mathematics (calculus) to learn how to draw graphs accurately. Now computer-generated graphs can be used to study important mathematical concepts.
Inexpensive graphing calculators make the power of computer visualization a reality for all secondary and college students.
Calculators offer students a method of performing computations and algebraic manipulations that is more efficient and precise than paper-and-pencil methods alone. Graphing calculators can store, manipulate and display data in many different ways. They can be thought of as well-programmed miniature special purpose computers that are very portable, much more affordable, and easier to use than desktop computers. They are inexpensive enough so that classrooms may have a set for students to use at any time, and many students will be able to afford their own.
They cost about as much as a pair of trendy new athletic shoes, and a class set can be purchased for as much as it would cost to buy just one or two computers. Each generation of graphing calculators is becoming more powerful and useful; yet they are not getting more difficult to use.
Graphing calculator technology is changing the types of problems that are important in mathematics classrooms. When algebraic manipulations were the most important concept to be learned, they naturally comprised the focus of most teaching. Now, However, arithmetic calculations and algebraic manipulations can be performed correctly in a matter of seconds using technology. Students can avoid time-consuming, tedious procedures and concentrate on understanding concepts, developing higher order thinking skills, and learning relevant applications. These powerful calculators provide students with another resource - in addition to paper-and-pencil, mental and estimation skills - to assist them in executing the procedures necessary to understand and apply mathematics.
Calculators allow for the cultivation of analytical adeptness and proficiency in complex thought processes, rather than just the development of mechanical, computational skills. Problems representing "real-life" situations with complicated numbers can also be addressed. And students will not have to worry about whether they are going to make a mistake in addition or multiplication and not come up with the correct answer, even though they worked the rest of the problem correctly. Students still need to be taught to develop good mental estimation skills, so they will know if the calculator solution makes sense in the problem situation. Use of calculators allows students to focus on the steps involved in problem solving. This is just as important, if not more so, than the actual answer.
Students value what is tested. Therefore, since learning how to use technology appropriately is so very important today, calculators should also be permitted on examinations. If students were allowed to use calculators in class and for homework, it would not be appropriate to deprive them of this valuable resource on tests. That is not to say that calculators must be allowed on every portion of every examination. For example, the College Board's Advanced Placement Calculus exam has two parts : in one part-graphing calculator are required, while in the other portion, calculators are forbidden.
The use of graphing calculators in the classroom extends problem-solving and mathematical understanding by making both practical and possible an important learning theory called multiple linked representations. Mathematical concepts can now be experienced through, and problems solved by, numerical, graphical, and symbolic representations. Graphing calculators allow students to move easily between these representations. When students are able to choose between several methods of solving a problem, it is more likely that they will remember how to solve it and be able to solve a similar type of problem the next time they see one. Moreover, seeing the graphs helps reinforce abstract concepts and allows the problem to become more tangible. Students can also use graphical methods to confirm an answer obtained through algebraic methods or to solve problems that would be too difficult to solve using algebraic methods. Research has also shown that access to graphical representations has improved females' ability to visualize functions and graphs.
When students are able to spend more time concentrating on understanding, setting up, and choosing the appropriate operations and equations for a problem, they tend to see mathematics as more useful and less tedious than those who are forced to perform all algebraic manipulations by paper and pencil alone. They are more likely to stay with the problem, and their confidence about their mathematical abilities is boosted.
Research not only proves that the use of calculators results in more positive feelings and better attitudes about mathematics for both students and teachers but it also confirms that calculators improve performance in a variety of areas including problem solving (Dunham, 1995)
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Look at this.
A first course of commutative algebra(1-30) and some others, which is made all by myself! But the main language is Chinese (mixing some English), maybe you need someone to translate it (English title means pure English).
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Introduction
• Matrices have many important uses.
• One of the simplest uses of matrices is to
store data.
• In fact, this is the most common use outside
mathematics.
• Matrices are used to solve linear systems
and represent geometric figures and
transformations. Building on this geometric
interpretation, matrices can also be applied
in the study of trigonometry.
•Matrices are a powerful unifying concept,
connecting ideas in mathematics to those in other
content domains as well as connecting various
branches of mathematics. As such, matrices can be
a means of integrated whole rather than a set of
isolated topics.
•Matrices are a rich topic and that many uses of
matrices are minor extensions or applications of
content already in our syllabus. There are several
reasons for introducing matrices into the syllabus:
1
• Matrices introduce a fundamental concept
in discrete mathematics.
• They model numerous realistic applications.
• They furnish opportunities for doing
arithmetic and algebraic computation in a
new context.
• Their properties and their operations lead to
important theoretical results.
Why Learn Matrices
• Storing and organising numerical data
• Operations with matrices
• The identity Matrices
• Inverse Matrices
• Operations using a Spreadsheet
• Some interesting Applications of Matrices (
not in syllabus)
Storing and organising numerical data
6 rows and 7 columns of data,
we say the matrix has size (order) 6 7
Example :
Type Friction Textbooks General Reference
Malay 25 47 22 30
Chinese 40 72 38 40
English 80 85 67 54
Matrix
Type Malay Chinese English
Friction 25 40 80
Textbook 47 72 85
General 22 38 67
Reference 30 40 54 Matrix
Text Book Page 198
• Can you name the orders of the following
matrices?
(a) 2 by 2 (e) 3 by 5
(b) 3 by 1 (f) 2 by 1
(c) 1 by 4 (g) 1 by 1
(d) 3 by 3
Operations with Matrices
• Addition and Subtraction of Matrices
What do you notice about the order of the two
matrices involved in each case?
Rules for Matrix Addition
and Matrix Subtraction
• If P and Q are two matrixes of the same order,
then the sum of P and Q, denoted by ( P + Q ), is
a matrix with its elements being the sum of the
corresponding elements of P and Q.
• The difference of P and Q is denoted by
(P–Q).
• If P and Q are of different orders, then their sum
and difference are not defined.
Example :
Ex 9A Page 201
• Class Work :
• Q1 a to j
Multiplication of a Matrix by a Real Number
• Examples :
Some Special Matrices
• Square Matrix
* A matrix has the same number of rows and
columns.
Examples :
•Zero matrix or null matrix , denoted by O
* Every element of a matrix is zero.
* May be of any order
Examples :
Ex 9A Page 201
• Class work : • Homework :
• Q3 • Q2
• Q4a, c, e, f • Q4b, d
• Q5a, c, e • Q5b, d
• Q6a • Q6b
Operations With Matrices
Matrix multiplication was invented in the 19th
Century as a useful way of combining two
suitable matrices. It multiplies elements in a row
with elements in a column to produce one single
number.
To make up some matrix multiplication problems
for yourself. And to investigate the condition on
the sizes of two matrices that is necessary before
you can be multiplied.
Example : Maybeline bought 3 apples, 2 oranges and 4
pears.The cost of each item is 25 cents, $1 and 40 cents
respectively. Find the total cost of the purchase.
Answer : The total cost of the purchase
= 3 25 cents + 2 100 cents + 4 40 cents
= 435 cents
= $ 4.35
Using Matrices :
• Page 202, 203
• For example,
• A 33 matrix multiplied by a 32 matrix
will result in a 32 matrix.
• A 32 matrix multiplied by a 23 matrix
will result in a 33 matrix.
• A 32 matrix multiplied by a 33 matrix is
not possible.
• In general : A m n matrix can be
multiplied to a n p matrix to produce a
m p matrix.
Ex 9B Page 206
• Class Work :
• Q1b, d, f • Homework :
• Q2 • Q1a, c, e
• Q3a • Q3b, c
• Q4 • Q5
• Q6a, c, f • Q6b, d, e
• Q8 • Q9
• Q10 • Q13
• Q11
• Q12
• Q14
Matrices Multiplication
The prices of the drinks
per cup are 55¢ for tea,
60¢ for coffee and 75¢ for
drinking chocolate.
(a) Form a matrix of prices and use it to find
the total amount taken on each of the 3 days.
(b) What information would be found by pre-
multiplying V by (1 1 1)?
explain why the matrix of prices can be a 31 or 13
matrix in (a) and what information is found if V is
post-multiplied by
Commutative and associative properties
matrix multiplication is not
commutative but associative.
Explain using a
problem
Commutative and associative properties
Prices
A B C
(AB)C is calculated by first finding the number of
doors and information does the matrix AB
What windows in each of the developments and
gives? BA?
then finding the total cost of windows and doors for
each development.
A(BC) is calculated by first finding the cost of the
Calculate (AB)C and A(BC).
doors and windows in each model and then finding
their Explain why they are equal.
total cost for each development.
Commutative and associative properties
• In general, matrix multiplication is not
commutative, i.e. AB BA. ( Ex 9B Q 2 )
• However, matrix multiplication is
associative. (AB)C = A(BC) ( Eg of
previous 2 slides)
• See example 4 on page 205
Identity Matrices
• In the addition of numbers, the identity is 0
since x + 0 = x for every value of x.
• In the multiplication of numbers, the identity is 1
since x 1 = x for every value of x.
If you combine the matrix I with any matrix P and
the result is the matrix P, then I is known as the
identity matrix.
Additive Identity :
Is there a 2 2 identity matrix for matrix
addition. i.e.
•A + O = O + A = A , where O is the null matrix.
For example, O =
Multiplicative Identity :
Is there a 2 2 identity matrix for matrix
multiplication. i.e.
A I = I A = A , where I is the identity matrix.
For example, I =
When referring to the multiplicative identity, it
N.B.
is usually called "the identity matrix".
Characteristics of Identity matrix :
• Is is a square matrix
• All elements in the leading diagonal are 1.
• All the other elements are 0.
• Eg
What do you obtain when A is multiplied by
the identity matrix?
AI = A or IA = A
Inverse Matrices
• The inverse of anything is that which will
combine with it to give the identity.
Is there an additive inverse for ?
The additive inverse of is
Reason :
The additive inverse can be found easily.
Multiplicative Inverse
** When we say "the inverse of a matrix", it is
referring to the multiplicative inverse
If A and B are two matrices and AB = BA = I,
then A is said to be the inverse of B, denoted by B -1;
B is said to be the inverse of A, denoted by A -1.
IMPT NOTE : You are doing Matrices .
Given A and the inverse of A, denoted by A -1
IMPT NOTE : You are doing Matrices .
To find the inverse of a matrix A = .
Step 1 : Find the determinant of the matrix A,
denoted by det A
Note :
• If det A = 0, then the inverse of A is not defined.
•Hence A does not have an inverse.
•When a matrix does not possess an inverse, it is known as a
singular matrix.
Step 2 : The inverse of matrix A is
Ex 9C Page 211
•Class Work: •Homework:
•Q1a, b, h •Q1e,i
•Q2a, d,e •Q2g,h
•Q4 •Q3
•Q5 •Q7
•Q6 •Q8
•Q9
•Q10
Time to think
• Can a matrix have more than one inverse?
How to prove it?
• Text Book Page 214
• 9.9 Some interesting Properties of
Matrices
• Q1, 2
Using Matrices to Solve
Simultaneous Equations
• To solve simultaneous equations by using
simple algebra, if there is no solution or
infinite solutions, what will you say about
the two equations?
• The simultaneous equations will represent
either two parallel lines or the same straight
line.
Using Matrices to Solve
Simultaneous Equations
• When the simultaneous equations is
expressed in the matrix form, and if the
determinant of the 22 matrix is zero, then
the two simultaneous equations will
represent either two parallel lines or the
same straight line.
• The equations have no unique solution.
Using Matrices to Solve
Simultaneous Equations
•Step 1 : Given ax + by = h
and cx + dy = k
•Step 2 : Find determinant of
•Step 3 : If ,
then
•Step 3 : If , the equations have no unique solution.
Ex 9D Page 214
• Class work: • Homework:
• Q1, 3, 5,8 • Q2, 4, 6
• Q10 • Q9
• Q12 • Q11
• Q13
• Q14
Why learn Matrices ?
The interior design company is given the job of putting up
the curtains for the windows, sliding doors and the living
room of the entire new apartment block of the NTUC
executive condominium. There are a total of 156 three-
bedroom units and each unit has 5 windows, 3 sliding
doors and 2 living rooms. Each window requires 6 m of
fabric, each sliding door requires 14 m of fabric and each
living room requires 22 m of fabric. Given that each metre
of the fabric for the window cost $12.30, the fabric for the
sliding door costs $14.50 per metre and each metre of the
fabric for the living room is $16.50.
We can write down three matrices whose product shows
the total amount of needed to put up the curtains for each
unit of the executive condominium.
NE Message:
The property market in Singapore went up very rapidly in
the 1990's. Many Singaporeans dream of owning a private
property were dashed and many call for some form of help
from the government to realise their dream. NTUC Choice
Home was set up to go into property business as a way of
stabilising the market and to help Singaporeans achieve
their dream of owning private properties. With the onset of
the Asian economic crises, the property market went under
and the public start to question the need for NTUC Choice
Home and urged NTUC to dissolve NTUC Choice Homes.
Do you think this is a good request? How long do you
think it will take to set up a company to run the property
business?
Operations using a Spreadsheet
The Microsoft Excel matrix functions are:
• MDETERM(array) Returns the matrix determinant
of an array
• MINVERSE(array) Returns the inverse of the
matrix of an array
• MMULT(array A, array B) Returns the matrix
product
• TRANSPOSE(array) Returns the transpose of an
array. The first row of the input
becomes the first column of the
output array, etc.
• *Except for MDETERM(), these are array functions and
must be completed with "Crtl+shift+Enter".
Some Interesting Applications
• Routes matrices or Matrices for Graphs
Matrices can be used to store data about graphs. The graph
here is a geometric figure consisting of points (vertices)
and edges connecting some of these points. If the edges are
assigned a direction, the graph is called directed.
• Cryptography
Matrices are also used in cryptography, the art of writing or
deciphering secret codes.
Routes Matrices
Example If 5 places A, B, C, D, E are connected by a road
system shown in the graph. The arrows denote one-way roads,
then this can be listed as
B
A E
the loop at B gives 2
routes from B to B
but the loop at D gives
C
only 1 route because
it is one-way only. R= D
• Multiplying this matrix by itself gives R2 which
gives the number of possible two-stage routes
from place to place. E.g. the number in the 1 st row,
1st column is 3 showing there are 3 two-stage
routes from A back to A (One is ABA, another is
ACA using the two-way road and the third is ACA
out along the one-way road and back along the
two-way road.)
• Similarly, R3 gives the number of possible three-
stage routes from place to place and vice versa.
A spreadsheet can be used for the tedious matrix
operations as shown below.
Cryptography
• One way of encoding is associating numbers with
the letters of the alphabet as show below. This
association is a one-to-one correspondence so that
no possible ambiguities can arise.
A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
�
26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1
In this code, the word PEACE looks like 11 22 26 24 22.
Suppose we want to encode the message: MATHS IS
FUN
If we decide to divide the message into pairs of
letters, the message becomes MA TH IS SF UN.
• (If there is a letter left over, we arbitrarily
assign Z to the last position). Using the
correspondence of letters to numbers given
above, and writing each pair of letters as a
column vector, we obtain
• Choose an arbitrary 2 2 matrix A which
has an inverse A-1. Say A = and
A-1 =
Now transform the column vectors by multiplying each
of them on the left by A:
The encoded message is 106 66 71 45 70 44 79 50 51 32.
To decode, multiple by A-1 and reassigning letters to the
numbers
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97803879624 introductory text on Lie groups and algebras and their roles in diverse areas of pure and applied mathematics and physics. The material is presented in a way that is at once intuitive, geometric, applications oriented, and, most of the time, mathematically rigorous. It is intended for students and researchers without an extensive background in physics, algebra, or geometry. In addition to an exposition of the fundamental machinery of the subject, there are many concrete examples that illustrate the role of Lie groups and algebras in various fields of mathematics and physics: elementary particle physics, Riemannian geometry, symmetries of differential equations, completely integrable systems, and bifurcation
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Everything you get from a traditional test prep book PLUS one-on-one instruction covering all the math on the ACT.**"I just love YourTeacher and the way you explain things. I felt like I was in a classroom instead of just looking at examples."Diane"I am needing prep work for my daughter's ACT. It's been very helpful and I do like how it's set up. The lessons are very clear and understandable - I wish I had this when I was in school!!"Ann"My daughter, who's a junior, is using Your Teacher to prepare for the ACT in the spring. She loves the interactive, go at your on pace style of Your Teacher. I absolutely love the program and certainly would and have recommended it."Sonya**Need more than practice problems to get ready for the ACT…YourTeacher's ACT Math Prep Course covers the exact math you need to know to ace the ACT. Our app includes everything you would get in a traditional ACT test prep course (i.e. practice problems), but ALSO includes the one-on-one instruction you need to truly learn math.Our lessons include:-Multiple video example problems(similar to how a teacher starts class at the board by explaining the examples from the textbook)-Interactive practice problems with built-in support(similar to how a teacher assigns practice and walks around the class providing help)-A Challenge Problem(similar to how a teacher assigns a higher level problem which students must work on their own to prove mastery)-Extra problem worksheets(similar to how a teacher assigns additional problems for homework)-Review notes(similar to how a teacher provides summary handouts or refers you to your textbook)******ACT Math Prep App - Scope and SequenceYourTeacher's ACT Math Prep App covers the exact math you need to ace the ACT. CHAPTER 1: INTEGERSAddition and SubtractionMultiplication and DivisionOrder of OperationsEvaluationAbsolute ValueCHAPTER 2: FRACTIONSDivisibility RulesFactors and PrimesPrime FactorizationMultiples and Least Common MultiplesGreatest Common FactorIntroduction to FractionsEquivalent Fractions (Part I)Lowest TermsEquivalent Fractions (Part II)Improper Fractions and Mixed NumbersComparing Proper FractionsComparing Mixed Numbers and Improper FractionsLeast Common MultipleAddition and SubtractionMultiplication and DivisionOrder of OperationsEvaluationAbsolute ValueCHAPTER 3: DECIMALSUnderstanding DecimalsComparing DecimalsRounding DecimalsLong DivisionDividing Decimals by Whole NumbersDividing Decimals by DecimalsPowers of TenConverting from Scientific to Standard NotationConverting from Standard to Scientific NotationCHAPTER 4: EXPRESSIONS AND EQUATIONSCombining Like TermsDistributive PropertyDistributive / Like TermsOne-Step EquationsTwo-Step EquationsEquations with FractionsEquations Involving DistributiveVariable on Both SidesVariable on Both Sides / FractionsVariable on Both Sides / DistributiveEquations with DecimalsEquations with Fractional SolutionsBeginning FormulasAdvanced FormulasCHAPTER 5: WORD PROBLEMSModeling Two-Step EquationsNumber ProblemsConsecutive Integer ProblemsGeometry ProblemsValue ProblemsIntroductory Motion ProblemsAdvanced Motion ProblemsCHAPTER 6: INEQUALITIES, ABSOLUTE VALUE, FUNCTIONS, & GRAPHINGCHAPTER 7: LINEAR EQUATIONSCHAPTER 8: SYSTEMS OF EQUATIONSCHAPTER 9: EXPONENTS & POLYNOMIALSCHAPTER 10: FACTORINGCHAPTER 11: RATIONAL EXPRESSIONS & EQUATIONSCHAPTER 12: RADICALS & QUADRATICSCHAPTER 13: PROBABILITY & STATISTICSCHAPTER 14: INTRODUCTION TO GEOMETRYCHAPTER 15: PARALLEL LINES & POLYGONSCHAPTER 16: RATIO, PROPORTION, & PERCENTCHAPTER 17: RIGHT TRIANGLESCHAPTER 18: CIRCLESCHAPTER 19: MEASUREMENTCHAPTER 20: ADVANCED AREA & VOLUME(Wifi or 3G connection required)ACT is the registered trademark of ACT, Inc. YourTeacher has no affiliation with ACT, Inc., and the YourTeacher ACT app is not approved or endorsed by ACT
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KEY MESSAGE: The KEY TOPICS: Algebra, Mathematical Models, and Problem Solving; Functions and Linear Functions; Systems of Linear Equations; Inequalities and Problem Solving; Polynomials, Polynomial Functions, and Factoring; Rational Expressions, Functions, and Equations; Radicals, Radical Functions, and Rational Exponents; Quadratic Equations and Functions; Exponential and Logarithmic...
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Bob Blitzer's unique background in mathematics and behavioral sciences, along with his commitment to teaching, inspired him to develop a precalculus series that gets readers engaged and keeps them engaged. Presenting the full scope of the mathematics is just the first step. Blitzer draws in the reader with vivid applications that use math to solve real-life problems. These applications help answer the question "When will I ever use this?" Readers stay engaged because the book helps them remain focused as they study. The three-step learning system—See It, Hear It, Try It—makes examples easy to follow, while frequent annotations offer the support and guidance of an instructor's voice. Every page is interesting and relevant, ensuring that readers will actually use their textbook to achieve...
LessISBN-10: 0321756266 | ISBN-13: 9780321756268 | Edition: 4 College Algebra in Context, Fourth Edition, is ideal for students majoring in business, social sciences, and life sciences. The authors use modeling, applications, and real-data problems to develop skills, giving you the practice you need to become an adept problem solver in your future courses and career. This revision maintains the authors' focus on applying math in the real world through updated real-data applications. Features such as Group Activities and Extended Applications promote collaborative learning, improve communication and research skills, and foster critical thinking. 0321900782 / 9780321900784 College Algebra: An Early Functions Approach Plus NEW MyMathLab with Pearson eText -- Access Card Package Package consists of: 0321431308 / 9780321431301 MyMathLab/MyStatL ab -- Glue-in Access Card 0321654064 / 9780321654069 MyMathLab Inside Star Sticker 0321729641 /...
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Gets Them Engaged. Keeps Them Engaged This text is perfect for those wanting to learn College Algebra from an exciting text that demonstrates the relevancy of math to everyday life. Blitzer's philosophy: present the full scope of mathematics, while always (1) engaging the reader by opening their minds to learning (2) keeping the readerengaged on every page (3) explaining ideas directly, simply, and clearly. Blitzer exposed the critical concept of frunctions right away in Chapter One preparing the reader for further study in mathematics College Algebra - Blitzer, Robert/ Miller, Daniel S.THIS IS A BRAND NEW UNOPENED ITEM. Buy SKU: 245998698 If you want additional info
Beecher, Penna, and Bittinger's College AlgebraDugopolski's College Algebra, Fifth Edition gives readers the essential strategies to help them develop the comprehension and confidence they need to be successful in this course. Readers will find enough carefully placed learning aids and review tools to help them do the math without getting distracted from their objectives. Regardless of their goals beyond the course, all readers will benefit from Dugopolski's emphasis on problem solving and critical thinking, which is enhanced by the addition of nearly 1,000 exercises in this edition.
Appropriate for courses in College Algebra at the Freshman/Sophomor e level. Sobe l and Lerner provide teachers with a teachable text and students with a readable text that will properly prepare them for future courses, particularly precalculus. The text is designed specifically to ease the transition to precalculus and directly involve the graphing calculator.
The Eighth Edition of this highly dependable book retains its best features— accuracy, precision, depth, and abundant exercise sets— Systems of Equations and Inequalities; Exponential and Logarithmic Functions; Counting and Probability; and more. For individuals with an interest in learning algebra as it applies to their everyday lives.
Mike Sullivan's time-tested approach focuses students on the fundamental skills they need for the course: preparing for class, practicing with homework, and reviewing the concepts. In the Ninth Edition, College Algebra has evolved to meet today's course needs, building on these hallmarks by integrating projects and other interactive learning tools for use in the classroom or online.Note : Access codes and supplements are not guaranteed with rentals.
ISBN-10: 0321758935 | ISBN-13: 9780321758934 | Edition: 6 The Blitzer Algebra Series combines mathematical accuracy with an engaging, friendly, and often fun presentation for maximum appeal. Blitzer's personality shows in his writing, as he draws readers into the material through relevant and thought- provoking applications. Every Blitzer page is interesting and relevant, ensuring that students will actually use their textbook to achieve success
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Trigonometry. This book provides readers with a solid understanding of the definitions and principles of trigonom... MOREetry and their application to problem solving. Identities are introduced early in Chapter 1. They are reviewed often and are then covered in more detail in Chapter 5. Also, exact values of the trigonometric functions are emphasized throughout the book. There are numerous calculator notes placed throughout the book.
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Kirk Trigsted teaches mathematics at the University of Idaho and has been Director of the Polya Mathematics Center since its inception in 2001. Kirk has taught with MyMathLab for many years, and has contributed to the videos for several Pearson books. Kirk is also actively involved with the National Center for Academic Transformation (NCAT).
An Introduction to Trigonometric Functions
An Introduction to Angles: Degree and Radian Measure
Applications of Radian Measure
Triangles
Right Triangle Trigonometry
Trigonometric Functions of General Angles
The Unit Circle
The Graphs of Trigonometric Functions
The Graphs of Sine and Cosine
More on Graphs of Sine and Cosine; Phase Shift
The Graphs of the Tangent, Cosecant, Secant, and Cotangent Functions
Inverse Trigonometric Functions I
Inverse Trigonometric Functions II
Trigonometric Identities, Formulas, and Equations
Trigonometric Identities
The Sum and Difference Formulas
The Double-Angle and Half-Angle Formulas
The Product-to-Sum and Sum-to-Product Formulas
Trigonometric Equations
Applications of Trigonometry
The Law of Sines
The Law of Cosines
Area of Triangles
Polar Equations, Complex Numbers, and Vectors
Polar Coordinates and Polar Equations
The Graphs of Polar Equations
Complex Numbers; DeMoivre's Theorem
Vectors
The Dot Product
Degree, Minute, Second Form and Degree Decimal Form
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ractical Problems in Mathematics for Electricians, 9th Edition
PRACTICAL PROBLEMS IN MATHEMATICS FOR ELECTRICIANS, 9E will give you the math skills you need to succeed in the electrical trade. It introduces you to the important math principles through problems designed for the electrical profession and offers you an excellent opportunity to develop and practice problem-solving skills while at the same time providing a valuable review of electrical terminology. This new edition uses the same straightforward writing style and simple, step-by-step explanations that made previous editions so reader-friendly. It minimizes theory and emphasizes problem-solving techniques and practice problems. This new edition also includes updated illustrations and information for a better learning experience than ever before! The book begins with basic arithmetic and then, once these basic topics have been mastered, progresses to algebra and concludes with trigonometry. Practical problems with real-world scenarios from the electrical field are used throughout, allowing you to apply key mathematical concepts while developing an awareness of basic electrical terms and practices. This is the perfect resource for students entering the electrical industry, or those simply looking to brush up on the necessary math82.95
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Advanced Engineering Mathematicswin Kreyszig's Advanced Engineering Mathematics, 9th Edition introduces engineers and computer scientists to advanced math topics as they relate to practical problems. In today's world of increasingly complex engineering problems, powerful new mathematical and computational methods, and enormous computer capacities, you can get overwhelmed by little things you will only occasionally use. Instead, you need to learn how to think mathematically and gain a firm grasp of the interrelationship among theory, computing, and experiment. That's why Kre... MOREyszig's text helps you develop a solid understanding of the basic principles and methods of advanced engineering mathematics in all three phases of problem solving: Modeling, Solving, and Interpreting. This best-selling text is known for its comprehensive coverage, careful and correct mathematics, outstanding exercises, and self-contained chapters. Key Features New problem sets. New Computer Experiments, using the computer as an instrument of "experimental mathematics" for exploration and research. More on modeling and selection methods. Accurate and solid theoretical foundation. Clear examples and exposition of material. Modern and standard notations. This market leading text is known for its comprehensive coverage, careful and correct mathematics, outstanding exercises and self contained subject matter parts for maximum flexibility The material is arranged into seven independent parts: ODE; Linear Algebra, Vector Calculus; Fourier Analysis and Partial Differential Equations; Complex Analysis; Numerical methods; Optimization, graphs; and Probability and Statistics
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is also fundamental to a deeper understanding of finance, marketing, and economics. Differential Calculus leads directly into Integral Calculus and eventually to the Differential Equations which can be used to model just about any continuous function or process. Microsoft Excel is, in my opinion, the star of the Microsoft Office Suite
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MAT 143 Pre-Calculus With Trigonometry (4 credits)
This course is designed to provide the necessary foundation for a standard calculus course. Topics include absolute value and quadratic inequalities, functions and their equations, exponential and logarithmic functions and their applications, right triangle trigonometry, law of sines and law of cosines, trigonometric functions (circular) and their inverses, trigonometric identities and equations, addition and multiple angle formulas, and binomial theorem. Graphing calculator use is required. Prerequisite: Grade of C or better in intermediate algebra, college algebra or equivalent. Not open to anyone with previous credit in MAT 141 or 142.
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Aplikasi Set Dalam Kehidupan Seharian Math Forum @ Drexel University. The Math Forum is the comprehensive resource for math education on the Internet. Some features include a K-12 math expert help service, an extensive database of math ....
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SM2A An Introduction to Vectors. This video is suitable for students in Year 12 studying Specialist Mathematics or for those in Year 11 studying General Mathematics A, in the State of Victoria, Australia. 39 more words
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College Algebra : Concepts and: Concepts and Models provides a solid understanding of algebra, using modeling techniques and real-world data applications. The text is effective for students who will continue on in mathematics, as well as for those who will end their mathematics education with college algebra. Instructors may also take advantage of optional discovery and exploration activities that use technology and are integrated throughout the text. A brief version of this text, College Algebra: A Concise Course, provides a shorter version of the text without the introductory review.
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her's unique one-stop guide to the building blocks of mathematics. Packed with top tips and memorable characters, this is an essential book for students ages 8 and up.
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This nicely designed paperback from the Basher Books series introduces basic mathematical terms such as zero, line, pi, quadrilaterals, ratio, bar graph, and x (representing unknown quantities). Each one, personified in the accompanying digital illustration, speaks for itself. Subtract begins, "People often think I'm gloomy. Okay, I admit it, I'm the exact opposite of Add, that bubbly ball of smirking positivity. Later Subtract touches on subtracting negative numbers and offers a mental-math puzzler with an alternate method of reaching the solution. Reminiscent of Japanese cartoons, the colorful, iconic illustrations of the characters are appealing enough to disarm many mathphobic students, while those who love the subject will be in their element. The accompanying poster can be easily detached from the back cover. Appealing to a broad range of readers, this little book introduces plenty of ideas to build on while presenting familiar concepts in a fresh way. Grades 4-7. --Carolyn Phelan
Most Helpful Customer Reviews
I home school my three boys aged 9, 6 and 3 (there's a girl on the way!) and we read a page of this book at breakfast time and they LOVE it!! Because of the illustrations they think it's very cool so we generally end up tapping out a rhythm on the table and 'rapping' the words and then I get them to repeat the terms in time. Great for memory. We HAD to go and buy a protractor and my 9 yr old spent ages figuring out angles and circumferences etc. I've just ordered a couple more of the series and intend to get all the books eventually. Having read the page on triangles today my son saw the Pythagorean Theorem for the first time and said, 'I really want to learn all that letter math so I can be really smart!' THANK YOU, BASHER.
I believe we have every book Basher's written, and this one is absolutely one of the favorites. I am amazed at my daughter sitting and spending long hours reading and giggling over a book about math, but I'm even more amazed at how she's been able to internalize concepts, like negative numbers, which normally wouldn't even be touched on for many years. I'm hoping that Algebra will make an appearance soon!
I bought this book for my 9 year-old son who first got hooked on this series from the book called "The Elements." I would recommend any and all of the books in this series. They have fun pictures that reinforce the learning and provide a lot of very interesting information. If you never thought your child would be excited to read a book about math, try this one!
Ok, I bought this for my 3 year old daughter. It IS a little over her head, but not by all that much. Out of the 3 Basher books that I own, this one is the most easy and down-to-earth for small minds to understand. Either that, or I have more of a background in math than I do chemistry and astronomy. Either way, she enjoys listening to all of them! I would definitely recommend these! They are not a text book, but rather a nice little addition to an already-implemented lifelong curriculum.
My science loving 7-year-old son read the Physics book by the same author at least a few times and loved it so we went ahead and purchased about five more in this series. He LOVES them. He is excited to read them to himself every night and then day dreams about the cute and funny characters interacting with each other. Last night he asked if he could continue reading "Math" past his silent reading time (and he hasn't been a huge fan of reading). I couldn't be happier with this series. Some books have cute posters that we have hung on his wall.
When I told my 5-year-old daughter that I bought her a book about math at the school book fair instead of the cheesy dinosaur paperback she had requested, she angrily walked 20 feet ahead of me the whole way home from school and refused to talk to me. When I asked her to just take a look at it, she snapped, "I hate math" (already, at 5?!?). But then she saw the illustration on the front cover, and she agreed to look through it. Then she asked me to read it to her. Then she hung the poster above her bed and I spent the next week reading this book to her every day. Now she counts herself among the people who like math and even recommended this book to an adult who she knows also likes math.
I wondered if she was just enjoying the illustrations and the really fun prose, so one day I asked her what negative numbers are. She explained that's what you use to count numbers that are less than zero. She's not perfectly clear on all the concepts in the book, of course, but what's important to me is that she now sees that math has a fun and exciting side. Now that she knows that there are cool math ideas out there, hopefully she won't just go back to "I hate math" as we slog through the basics of addition and subtraction.
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I'm getting really bored in my math class. It's middle school math with pizzazz book b, but we're covering higher grade material. The concepts are really complicated and that's why I usually doze off in the class. I like the subject and don't want to fail , but I have a big problem understanding it. Can someone guide me?
Don't fret my friend. It's just a matter of time before you'll have no problems in solving those problems in middle school math with pizzazz book b. I have the exact solution for your math problems, it's called Algebrator. It's quite new but I assure you that it would be perfect in assisting you in your algebra problems. It's a piece of program where you can answer any kind of algebra problems with ease . It's also user friendly and shows a lot of useful data that makes you understand the subject matter fully.
Yeah, I think so too . Algebrator explains everything in such great detail that even a beginner can learn the tricks of the trade, and solve some of the most tough mathematical problems. It elaborates on each and every intermediate step that it took to reach a certain solution with such finesse that you'll learn a lot from it.
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BookGateway.com » Education
Your Gateway to Great Books!Thu, 05 Dec 2013 22:43:24 +0000en-UShourly1Hot X:Algebra Exposed by Danica McKellar
06 Dec 2010 22:04:38 +0000admin McKeller is a genius! One of the subjects most in need of some excitement is math and she found a way to do that. McKeller takes the subject of algebra and curls its hair, does its makeup and buys … Read the rest prescription]]>Danica McKeller is a genius! One of the subjects most in need of some excitement is math and she found a way to do that. McKeller takes the subject of algebra and curls its hair, does its makeup and buys it a new gown. We are left with an amazingly easy (and fun) to read book that takes the mystery out of the feared subject. Each section has info on the topic at hand, then peppers in Quick Notes (tips), Step-by-Step examples (showing work), Takeaway Tips (reminders) and a bunch of examples on how to do the topic.
I was so enamoured with the book that I gave it to my daughter who is 11 years old to see what she thought (and how this played out with the target audience. After all, every parent is looking for the next best way to help their children learn but we all wonder if it actually works.) Here is what she said about the book:
Arieltopia:This book was about how easy algebra is when you understand how to do it. I think it is a great book and I recommend it for all young ladies in junior high through high school. Girls only because it talks a little about guys, but not anything parents would need to worry about. I really enjoyed this book and I hope you do too. The author has also written two other math-related novels. This book is written by the New York bestselling author of Math Doesn't Suck: How to Survive Middle School Math Without Losing Your Mind or Breaking a Nail. Her other book is titled Kiss My Math: Showing Pre-Algebra Who's Boss. The three are related and at the bottom of every page, page numbers in the other books are listed in case you are either lost or just do not understand. This book really does help. My math grade increased alot and I can only use some of the facinating algebra tips in this book. Just think what it would do for girls in high school! I really learned alot of cool math tricks and I hope you pick up a copy of this book right away!
I agree. This is a great resource for parents and teens alike.
Scott Asher is the founder and administrator of BookGateway.com and has generously provided this review. He reviews for the commercial site BuddyHollywood.com and previously on Bookboro. His personal blog is AshertopiA – a land flowing with milk and honey… and a lot of sticky people.
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History of Mathematics
Revised: November 2006
Course Description
Topics include the development of mathematics from ancient to modern times in many
cultures with emphasis on methods, techniques, and algorithms of particular times
and cultures. Additional topics include connecting the mathematics of a time and place
with other types of academic/artistic thought. Three semester hours
Objectives
1. To introduce students to the history of mathematics.
2. To create an awareness of the development of mathematics as a subject within
various cultural contexts.
3. To introduce students to the contributions of a variety of cultures to the development
of mathematics.
Text
John Fauvel and Jeremy Gray, The History of Mathematics: A Reader. Macmillan, 1987.
Grading Procedure
Grading procedures and factors influencing course grade are left to the discretion
of individual instructors, subject to general university policy.
Attendance Policy
Attendance policy is left to the discretion of individual instructors, subject to
general university policy.
Course Outline
This course covers the development of mathematics from ancient times through the present
day. Emphasis is on the mathematics of the time period and culture in relation to
other forms of intellectual thought.
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Your math placement score consists of two sections. The first digit measures problem solving skills and the second digit measures algebra skills. Here is a breakdown of the possibilities of each with a brief description:
1. Always read math problems completely before beginning any calculations. If you "glance" too quickly at a problem, you may misunderstand what really needs to be done to complete the problem.
2. Whenever possible, draw a diagram. Even though you may be able to visualize the situation mentally, a hand drawn diagram will allow you to label the picture, to add auxiliary lines, and to view the situation from different perspectives.
The mission of the Wittenberg University Math Workshop is to provide support for students in mastering the mathematical tools and concepts necessary for them to attain the general education learning goal for mathematics as well as the mathematical requirements of their individual educational programs. The workshop strives to teach students to value math, to become confident in their ability to do math, to become mathematical problem solvers, and to learn to communicate and reason mathematically.
The workshop carries out its mission through the following activities:
The Wittenberg University Math Workshop also offers an off-campus tutoring program as a service to the Springfield community. In addition to tutoring high school math, we can also provide tutoring for other subjects such as chemistry and physics. Tutors are available for any grade, K through 12, and providing tutoring service for elementary students is frequently requested. Obed Lewis, the Director of the Math Workshop, administers the off-campus tutor program.
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"Mathematics is one of humankind's greatest cultural achievements. It is the "language of science," providing a means by which the world around us can be represented and understood. The mathematical representations that high school students learn afford them the opportunity to understand the power and beauty of mathematics and equip them to use representations in their personal lives, in the workplace, and in further study."
(NCTM, 2000, p. 364)
Why does this standard matter? The effort to expand students' facility with representation pays off in many ways. Representations tend to help students identify the pertinent facts of a situation, organize their thinking, and remember effective strategies and important concepts. Students who can develop and interpret a variety of representations are likely to have greater success in present and future mathematics coursework. They are also better prepared as citizens and as future workers.
Representations, whether visual, symbolic, verbal, or in other forms, are an important tool when solving problems. They allow us to identify patterns and relationships, and to interpret and manipulate the given information to reach a solution. When using representations to solve a problem or make sense of a new concept, a student is likely to go back and forth, using the representation to help clarify the problem and using the problem to extend understanding of the representation. Through this process students become able to move among different representations, choosing forms as needed for the problem-solving task at hand. Fluency with representation also provides a means to self-monitor in problem solving. For instance, the reasonableness of a conjecture based on looking at a data table can be tested by looking at the same data in a graph.
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Linear Algebra
9780135367971
ISBN:
0135367972
Edition: 2 Pub Date: 1971 Publisher: Prentice Hall
Summary: This introduction to linear algebra features intuitive introductions and examples to motivate important ideas and to illustrate the use of results of theorems. Linear Equations; Vector Spaces; Linear Transformations; Polynomials; Determinants; Elementary canonical Forms; Rational and Jordan Forms; Inner Product Spaces; Operators on Inner Product Spaces; Bilinear Forms For all readers interested in linear algebra. ...> Hoffman, Kenneth is the author of Linear Algebra, published 1971 under ISBN 9780135367971 and 0135367972. Four hundred eighty six Linear Algebra textbooks are available for sale on ValoreBooks.com, twenty four used from the cheapest price of $48.59, or buy new starting at $12235367972 Used texts DO NOT include supplements such as CDs or access codes. This text contains extensive; bookstore stickers on cover, writing, highlighting, water damage, [more]
0135367972 Used
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...
More About
This Book
prepares students to solve those difficult, obscure problems that were never covered in class but always seem to find their way onto exams.
• Annotated notes throughout the book to clarify each problem
• An expert author on the topic with a great track record for helping students and math enthusiasts
• Author's website calculus-help.com reaches thousands of students every month
Product Details
Related Subjects
Meet the Author
W. Michael Kelley is an award-winning former math teacher and author of seven math books. His method of making intimidating math topics very approachable, even humorous, has helped students and adults alike conquer their fear of numbers
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Scott Foresman - Addison Wesley mathematics. [Grade 4(
Book
) 78
editions published
between
2004
and
2008
in
English
and held by
88
libraries
worldwide
This sixth-grade textbook focuses on key ideas in mathematics, rich problem-solving lessons that build the reading and writing skills necessary for powerful problem solving, and differentiated instructional options to meet the needs of varied learners.
Math(
Book
) 16
editions published
between
1999
and
2002
in
English
and held by
84
libraries
worldwide
Addison-Wesley pre-algebra : a transition to algebra(
Book
) 1
edition published
in
1992
in
English
and held by
81
libraries
worldwide
Pre-algebra text with accompanying workbook and teacher's materials provides a program in mathematics which is a transition from arithmetic to algebra. Includes decimals, number theory, equations, percent, ratio, area and volume, statistics, and square roots.
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Description:
Computational science is a quickly emerging field at the intersection of the sciences, computer science, and mathematics because much scientific investigation now involves computing as well as theory and experiment. However, limited educational materials exist in this field. Introduction to Computational Science fills this void with a flexible, readable textbook that assumes only a background in high school algebra and enables instructors to follow tailored pathways through the material. It is the first textbook designed specifically for an introductory course in the computational science and engineering curriculum.The text embraces two major approaches to computational science problems: System dynamics models with their global views of major systems that change with time; and cellular automaton simulations with their local views of how individuals affect individuals. While the text is generic, an extensive author-generated Web-site contains tutorials and files in a variety of software packages to accompany the text.Generic software approach in the textWeb site with tutorials and files in a variety of software packagesEngaging examples, exercises, and projects that explore scienceAdditional, substantial projects for students to develop individually or in teamsConsistent application of the modeling processQuick review questions and answersProjects for students to develop individually or in teamsReference sections for most modules, as well as a glossaryOnline instructor's manual with a test bank and solutions
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More About
This Textbook
Overview
This is a concise introductory textbook for a one semester course in the history and philosophy of mathematics. It is written for mathematics majors, philosophy students, history of science students and secondary school mathematics teachers. The only prerequisite is a solid command of pre-calculus mathematics. It is shorter than the standard textbooks in that area and thus more accessible to students who have trouble coping with vast amounts of reading. Furthermore, there are many detailed explanations of the important mathematical procedures actually used by famous mathematicians, giving more mathematically talented students a greater opportunity to learn the history and philosophy by way of problem solving. Several important philosophical topics are pursued throughout the text, giving the student an opportunity to come to a full and consistent knowledge of their development. These topics include infinity, the nature of motion, and Platonism. This book offers, in fewer pages, a deep penetration into the key mathematical and philosophical aspects of the history of mathematics.
This concise introduction explores the key mathematical and philosophical aspects of the history of mathematics. Detailed explanations of mathematical procedures used by famous mathematicians give readers a greater opportunity to learn the history and philosophy through problem solving. 23
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NATURE OF MATHEMATICS (10th Edition)
by SMITH
Annotated Instructor Edition
Rent
Our Price:
$14.49
Term:
Description
Karl Smith's loyal customers adopt his book for its clear writing, its coverage of historical topics, selection of topics, level, exercise sets (featuring great applications problems), and emphasis on problem solving. Since the First Edition of Smith's text was published, thousands of liberal arts students have "experienced" mathematics rather than just doing problems. Smith's writing style gives students the confidence and ability to function mathematically in their everyday lives. The emphasis on problem solving and estimation, along with numerous in-text study aids, encourages students to understand the concepts while mastering techniques.
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Just-In-Time Algebra and Trigonometry for Students ofStrong Algebra and Trigonometry table of contents is organized so that the algebra and trigonometry topics are arranged in the order in which they are needed for calculus. The exponential, log, and inverse trigonometric functions are given in the appen... MOREdices, to be used as the need arises in the particular calculus text used in the course.
Algebraic word problems; the geometry of rectangles, circles, and spheres; trigonometric word problems; right angled triangles; the law of sines and the law of cosines
124
(12)
Integrating Trigonometric Functions
Trigonometric Identities
Rewriting trigonometric expressions using identities
136
(5)
Appendices (Use as needed)
A. Exponential Functions
141
(6)
B. Inverse Functions
147
(9)
C. Logarithmic Functions
156
(13)
D. Inverse Trigonometric Functions
169
(13)
E. The Binomial Theorem
182
(3)
F. Derivation of the Quadratic Formula
185
(2)
Answers to Odd-Numbered Exercises
187
(21)
Index
208
Guntram B. Mueller received his Ph.D. in Mathematics (Theory of Functions of Several Complex Variables) in 1971 from the University of Notre Dame. He has taught Calculus many times and is very familiar with the typical strengths and weaknesses in the backgrounds of his students. That experience is what guided him, in cooperation with Dr. Ron Brent, in writing the Just-in-Time series. His advice? Buy the book! It's got just what you need, just in time.
Ronald I. Brent is a Professor of Mathematics at University of Massachusetts, Lowell, where he has taught since 1987. He earned his Ph.D. in Mathematics from Renssalaer Polytechnic Institute. Dr. Brent is the author of many publications, including three Just-In-Time mathematics texts. His main advice to his calculus students is: "Work on your homework as if your life in this course depends upon it! Because it does!"
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ODE Toolkit can numerically find and display the solutions to differential equations. It is useful when you want to visualize the solutions to differential equations, or when analytic solutions are no... More: lessons, discussions, ratings, reviews,...
The worksheet presents some thoughts about the plane strain problem of the viscous orthotropic composite materials cylinder under internal and external pressure with respect to using the direct met... More: lessons, discussions, ratings, reviews,...
An interactive applet and associated web page that demonstrate the dilation transformation.
The applet shows a rectangle and its dilated image. The user can control the scale factor with a sl... More: lessons, discussions, ratings, reviews,...
The resource consists of a series of linked concept maps that lead students through steps of importing and analyzing two-variable data using Fathom. Students follow illustrated steps to import data fr... More: lessons, discussions, ratings, reviews,...
The number line is an effective tool for demonstrating division of fractions. The dividend is the "target" which is reached after a certain number of "jumps" by the divisor. If the final jump lands ... More: lessons, discussions, ratings, reviews,...
Geocadabra is dynamic geometry software that supports students learning 2D and 3D geometry, functions and curves (with analysis), and probability.
The software was developed in Holland, and is avai
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Mathematics
The Middle School Mathematics program continues the study of the content strands: number sense and operations, measurements, geometry, statistics/ probability and algebra/functions /patterns.
A variety of teaching strategies are used such as mental arithmetic, word problems, hands-on puzzles, games, projects, electronic binders and variety of computer software to reinforce and consolidate basic skills and to prepare students effectively for the successful continuation of their math program in the Tutorial House.
The Middle One Mathematics curriculum expects to take a problem- solving approach, using real life situation, and is designed to develop mathematical literacy and reasoning. Reinforcement of the topics learned in Junior Four, such as arithmetic concepts in whole numbers and rational numbers, basic geometry measurement, estimation, constructing and interpreting tables, charts and graphs takes place. New concepts of simple algebraic expressions, and solving one-step equations are introduced.
The Middle Two Mathematics program various mathematical topics are explored in a spiral approach as the year progresses. Students continue to build proficiency in the areas of computation, fractions, decimals, measurements, data analysis, proportions and percents. Concepts of geometry are extended to include parallel lines and properties of polygons. Problem solving approach is emphasized in all areas.
The Middle Three mathematics program includes problem solving using algebraic equations. Ratio, proportion and percents are treated in more depth, with problem solving involving percentage increase and decrease. Graphing lines in a coordinate plane and the idea of slope are introduced. Concepts of geometry are extended to include three-dimensional figures. The concepts of linear transformations such as translation, rotation, reflection and dilation are further developed. Ability grouping begins at this grade.
The Middle Four mathematics program involves understanding and solving linear equations, inequalities and systems of equations in two variables, both graphically and algebraically. Quadratic equations are solved by using the factor method, and it is extended to the use of the quadratic formula and graphing methods for advanced students. Students work extensively with polynomial expressions, and their algebraic skills are reinforced by solving geometric problems. The number system is extended to include irrational numbers. Students' geometric skills and concepts are further developed through the study of three-dimensional geometry and geometric constructions. Concepts and skills are reinforced through mathematical investigations and the use of technology.
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Sets, Counting, and Probability
Online math lectures with a Harvard math professor
This online math course develops the mathematics needed to formulate and analyze probability models for idealized situations drawn from everyday life. Topics include elementary set theory, techniques for systematic counting, axioms for probability, conditional probability, discrete random variables, infinite geometric series, and random walks. Applications to card games like bridge and poker, to gambling, to sports, to election results, and to inference in fields like history and genealogy, national security, and theology. The emphasis is on careful application of basic principles rather than on memorizing and using formulas.
Free online math lectures
The Quicktime and MP3 formats are available for download, or you can play the Flash version directly. Each lecture is two hours.
Questions #1–10
Enroll in Harvard Extension School courses
If you enjoyed this free class, the Harvard Extension School offers a wide variety of courses in numerous fields. Search for classes and enroll for credit during the fall and spring registration periods.
About the faculty
Paul G. Bamberg received an undergraduate degree in physics from Harvard and a doctorate in theoretical physics from Oxford. For 28 years, he taught premedical physics at Harvard College, the Extension School, and the Summer School. He helped develop the math and computer science curricula at the Extension School. Bamberg received the Extension School's Petra T. Shattuck Excellence in Teaching Award and the Dean's Distinguished Service Award.
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This voluminous book is intended as an elementary introduction aimed at undergraduate university students. Each section states (without proof) relevant theorems and then proceeds by means of simple examples and exercises. An important feature is that the exposition is richly accompanied by computer algebra code (equally distributed between Matlab, Mathematica and Maple). The major part of the book is devoted to classical linear theory (both for systems and higher order equations). The necessary material from linear algebra is also covered. More advanced topics include numerical methods (Euler, Runge-Kutta), stability of equilibria, bifurcations, Laplace transforms and the power series method. The elementary character of the book makes it accessible to a wide audience of students; it also serves as a simple introduction to the above mentioned computer programs.
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This free undergraduate textbook provides an introduction to proofs,
logic, sets, functions, and other fundamental topics of abstract
mathematics. It is designed to be the textbook for a bridge
course that introduces undergraduates to abstract mathematics, but it
is also suitable for independent study by undergraduates (or
mathematically mature high-school students), or for use as a very
inexpensive supplement to undergraduate courses in any field of
abstract mathematics.
The book is being released online with a Creative Commons
license (Attribution-NonCommercial-ShareAlike 2.0). Although not
in final form, it has already been
used as a textbook for 3 semesters at the University of
Lethbridge. The preliminary version posted in May 2009 is
approximately 220
pages.
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Appropriate for sophomore-level courses in Multivariable Calculus. A traditional and accessible calculus text with a strong conceptual and geometric slant that assumes a background in single-variable calculus. The text uses the language and notation of vectors and matrices to clarify issues in multivariable calculus. It is designed to provide a greater challenge than the multivariable material typically found in the last four or five chapters of a three-semester calculus text. This challenge is balanced by clear and expansive writing and an interesting selection of material.
(NOTE: Each chapter concludes with True/False Exercises and Miscellaneous Exercises.)
Vectors
Vectors in Two and Three Dimensions
More About Vectors
The Dot Product
The Cross Product
Equations for Planes; Distance Problems
Some n-Dimensional Geometry
New Coordinate Systems
Differentiation in Several Variables
Functions of Several Variables; Graphing Surfaces
Limits
The Derivative
Properties; Higher-Order Partial Derivatives; Newton's Method
The Chain Rule
Directional Derivatives and the Gradient
Vector-Valued Functions
Parametrized Curves and Kepler's Laws
Arclength and Differential Geometry
Vector Fields: An Introduction
Gradient, Divergence, Curl, and the Del Operator
Maxima and Minima in Several Variables
Differentials and Taylor's Theorem
Extrema of Functions
Lagrange Multipliers
Some Applications of Extrema
Multiple Integration
Introduction: Areas and Volumes
Double Integrals
Changing the Order of Integration
Triple Integrals
Change of Variables
Applications of Integration
Line Integrals
Scalar and Vector Line Integrals
Green's Theorem
Conservative Vector Fields
Surface Integrals and Vector Analysis
Parametrized Surfaces
Surface Integrals
Stokes's and Gauss's Theorems
Further Vector Analysis; Maxwell's Equations
Vector Analysis in Higher Dimensions
An Introduction to Differential Forms
Manifolds and Integrals of k-forms
The Generalized Stokes's Theorem
Suggestions for Further Reading
Answers to Selected
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Mathematics Projects 2011
Explore the World of Chaos
Faculty Mentor - Dr. Maureen Rush
This workshop is for high school students who want to explore the mathematical phenomenon known as chaos. Chaos
is what results when very small changes in the initial conditions of a system lead to very large discrepancies over time.
This phenomenon can account for our inability to predict weather, spread of disease, among other things.
You will learn the basics of mathematical iteration, both linear and nonlinear, with only an algebra background.
Much of our work will utilize graphing calculators and software spreadsheets. We'll create wonderful graphs and create movies!
Disclaimer
These Web pages and any associated Adobe Acrobat Files are designed as supporting material
for the respective projects. Please feel free to contact either of the program directors with any
questions you might have.
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Pre-Algebra Course Description
This course reinforces and builds upon mathematical skills taught in previous classes with additional advanced computation, including an emphasis on algebraic concepts. The course content follows the California State Mathematics Framework and Standards for 7th grade.
This course reinforces mathematical skills taught in the grade six class with additional advanced computation including an emphasis on Algebraic concepts. Students study fractions, decimals, percents, positive and negative integers and rational numbers. They become more proficient in using ratios, proportions and solving algebraic equations. Students will develop and expand problem solving skills (creatively and analytically) in order to solve word problems. Students continue to practice using math skills to solve word problems and to think creatively and analytically. Students will use manipulatives and calculators. Successful completion of this course prepares students for success in Algebra 1.
Textbook
Holt, Mathematics Course 2: Pre-Algebra.
Workbook
Click on the textbook above and type in the keyword from the textbook to view online resources (you will need to scroll down on the page to find the "Go resources" search box). For example, to obtain on-line help for section 1-5 simply type in "MT8CA 1-5" as the keyword to access videos, instructions, and extra examples. The keywords all start with MT8CA, the "1-5" refers to section 1-5 in the textbook. To obtain online help for section 5-6, enter "MT8CA 5-6" as the keyword. The keyword "MT8CA Parent" will show written resources for all chapters, simply select the desired chapter (the "parent" resources do not include videos, just quick overviews of the topic with a few examples).
Pre-Algebra Course Content
Four benchmarks have been scheduled throughout the year. Each 65 question benchmark is designed to be completed in two class periods and will emphasize all of the content standards for Grade 7 Math (Pre-Algebra) -- the same length and time as the spring California State Tests (CSTs). It is expected that most students will miss some of the problems that have not been covered in class prior to the benchmark, but students should be able to do progressively better as we approach benchmark #4 and the spring California State Tests (CSTs).
The "End of Unit" test for each unit will be included as part of the students' grade. The benchmarks will only be counted as classwork, and will therefore not be a significant contribution to the overall student grade.
California Mathematics Content Standards This is a link to a rather large pdf file that contains all of the mathematics standards for Kindergarten through Grade 12. (Page 38 has the Grade 7 details.) California Mathematics Framework This is a link to a rather large pdf file that contains the framework and rationale for mathematics courses from Kindergarten through Grade 12. (Page 85 has the Grade 7 details.)
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We will cover more advanced topics. We will begin with error-detecting codes like the international standard book number ISBN-code and use dihedral groups to make better ISBN-like codes. After that, we will do permutation groups with two main topics: counting under group actions and Wielandt's proof of the first Sylow theorem. We will then consider how Sylow's theorem works in groups of symmetries of sets (the "symmetric group of permutations") and vector spaces (the general linear group). Then we will do double cosets! We'll use them to give Frobenius's proof of the first Sylow theorem. This will take up the first two-thirds of the course.
In the second half, we will do ring theory, focusing on polynomial and power series rings. We will introduce the basic concepts of ideal theory and apply them to ideals in polynomial rings and do a little bit of algebraic geometry. This will be done using Gröbner basis theory.
Pre-requisites: The pre-requisites is MATH 3510. This is a continuation of that course. We will assume basic knowledge of group and ring theory (denitions and elementary properties covered in MATH 3510). Grading: There will be homework, two-hour test during the semester, and a final. Textbook: We will use the textbook from the rst semester 3510 as a required text: Allan Clark, Elements of abstract algebra, Dover, New York, ISBN 0-486-64725-0 For the ring theory, a recommended (not required) text is David Cox, John Little, Donal O'Shea, Ideals, varieties, and algorithms: An introduction to computational algebraic geometry and commutative algebra, Springer, Paperback edition, ISBN 1-44-192257-1.
The course's main aim is to discover and explore connections between Point Set Topology, Measure Theory and Number Theory. After establishing a solid background in Topology, we shall review some important notions from Measure Theory, an important foundation for advanced graduate study in analysis and probability. We shall then study selected chapters from John C. Oxtoby' book: Measure and Category: A Survey of the Analogies between Topological and Measure Spaces. This will allow us to understand how the concept of topology provides an important tool for us to better understand real analysis, and working with the real line gives us a concrete and familiar place to work with the new topological concepts introduced in the course. Highlights of the course will include the Baire Category Theorem, a beautiful topological tool that enables one to prove a variety of existence theorems, and the Poincaré Recurrence Theorem, which provides certain criteria for a physical system to eventually return to a state close to its initial state. We will also explore important and interesting sets, such as the Cantor Set, amusingly illustrated in the figure below.
For undergraduate students, particularly those considering attending graduate school in pure mathematics, or in programs in probability, statistics, or financial mathematics which also include a theoretical component, Math 4500 provides you with the tools and foundations to prepare you for more advanced study of analysis, probability, and geometry. For graduate students, Math 5600 reinforces your knowledge of real analysis and provides ideal preparation for UNT's core sequences in measure theory and topology.
This course covers fundamental concepts of financial mathematics and their applications in calculating present and future values, annuities and variable cash flows, yield rates, and valuation of stocks, bonds and other securities. The course will also provide an introduction to financial instruments, including options, contracts, and hedging, and the concept of no–arbitrage as it relates to financial mathematics.
Students who meet the prerequisites and have an interest in financial mathematics are welcome to enroll (whether or not they plan to complete the actuarial certificate). Students interested in a career in actuarial science are encouraged to take this course to be familiar with the topics covered in Exam FM/2.
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Contents
Making complex math quite doable on screen, MathJournal ($98 for students, $198 standard) recognizes symbols like pi or the square-root sign, and lets you use all your math jottings to solve equations. You can even mix images and text with math recognition on one virtual sheet: for example, drawing a labeled diagram and solving an equation that is theoretically related. In addition to Microsoft's ink APIs, the software uses tried-and-true universal Math
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Learn GCSE Maths on your SmartphoneLearn GCSE Maths on your Smartphone
GCSE Maths V10GCSE Maths receipt.
Vedic Mathematics Made Easy by Dhaval Bathia
Price:
$1.70 USD.
Approx. 44,920 words.
Language:
English.
Published on April 1, 2013.
Category:
Nonfiction » Education and Study Guides » Study guides - Mathematics.
(5.00 from 1 review)
This International Bestselling book on Vedic Mathematics which will help you do calculations and solve complicated math questions in a matter of a few seconds. Extremely helpful for students giving GMAT, GRE, CAT, SAT, CET and other entrance exams. Over 150,000 copies sold in 14 languages worldwide » Education and Study Guides » Study guides - Mathematics
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047165Textbook: Achieving a fine balance between the concepts and procedures of calculus, this applied Calculus text provides students with the solid background they need in the subject with a thorough understanding of its applications in a wide range of fields ? from biology to economics.
Key features of this innovative text include:
The text is problem driven and features exceptional exercises based on real-world applications.
The authors provide alternative avenues through which students can understand the material. Each topic is presented four ways: geometrically, numerically, analytically, and verbally.
Students are encouraged to interpret answers and explain their reasoning throughout the book, which the author considers a unique concept compared to other books.
Many of the real-world problems are open-ended, meaning that there may be more than one approach and more than one solution, depending on the student's analysis. Solving a problem often relies on the use of common sense and critical thinking skills. Students are encouraged to develop estimating and approximating skills.
The book presents the main ideas of calculus in a clear, simple manner to improve students' understanding and encourage them to read the examples.
Technology is used as a tool to help students visualize the concepts and learn to think mathematically. Graphics calculators, graphing software, or computer algebra systems perfectly complement this book but the emphasis is on the calculus concepts rather than the technology. (Textbook ISBN: 0471207926)
Student Solutions Manual: Provides complete solutions to every odd exercise in the text. These solutions will help you develop the strong foundation you need to succeed in your Calculus class and allow you to finish the course with the foundation that you need to apply the calculus you learned to subsequent courses. (Solutions Manual ISBN: 0471213624
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Kombinasi Naga Dan TrikThe Math Forum @ Drexel University. The Math Forum is the comprehensive resource for math education on the Internet. Some features include a K-12 math expert help service, an extensive database of math ....
The Math Forum @ Drexel University. The Math Forum is the comprehensive resource for math education on the Internet. Some features include a K-12 math expert help service, an extensive database of math ....
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Summary: KEY MESSAGE:Gary Rockswold and Terry Kriegerfocus on teaching algebra in context, giving students realistic and convincing answers to the perennial question, ldquo;When will I ever use this?rdquo; The authorsrsquo; consistent use of real data, graphs, and tables throughout the examples and exercise sets gives meaning to the numbers and equations as students encounter them. This new edition further enhances Rockswold and Kriegerrsquo;s focus on math in the real world with a new feat...show moreures and updated applications to engage todayrsquo;s students. KEY TOPICS: Real Numbers and Algebra, Linear Functions and Models, Linear Equations and Inequalities, Systems Of Linear Equations, Polynomial Expressions and Functions, Rational Expressions and Functions, Radical Expressions and Functions, Quadratic Functions and Equations, Exponential and Logarithmic Functions, Conic Sections, Sequences and Series MARKET: For all readers interested in AlgebraAcceptable
GICW Books Hillsboro, OR
Reading copy. May have notes, underlining or highlighting. Dust jacket may be missing6947 +$3.99 s/h
Acceptable
CheaperReader Atlanta, GA
Hardcover Fair 0321500032
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A Student's First Course in Mathematica
This course provides a self-paced training experience with all of the basic features of Mathematica that students commonly use. The course is delivered as a set of downloadable videos with accompanying course materials. Course topics are presented with alternating sessions of lectures and exercises.
Outline
Introduction Step-by-step instruction on performing basic operations, building up computations, and navigating the user interface, as well as a description of how to navigate and take full advantage of the documentation system
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More Maths Grads
More Maths Grads was a three-year project funded by the Higher Education Funding Council for England to develop, trial and evaluate means of increasing the number of students studying mathematics and encouraging participation from groups of learners who have not traditionally been well represented in higher education.
The More Maths Grads was delivered by teams in three areas, the West Midlands (led by Coventry University), East London (Queen Mary, University of London), and Yorkshire & the Humber (University of Leeds), for the three years 2007–9, while Sheffield Hallam University undertook a national study to assess the higher education curriculum and to try to increase the scope of mathematics courses to allow real choice for a wide range of research report written by Kevin Golden for More Maths Grads which aimed to develop a market research led strategy for identifying opportunities for continuing professional development programmes involving mathematics and statistics within the workplace.
As a case study, this particular report uses the aerospace sector in the…
This booklet, provided by More Maths Grads, has been designed to highlight the ways that mathematics is used in daily life. There are a selection of enrichment activities which include games, card tricks and puzzles that can be used to demonstrate how much fun mathematics can be, as well as the many ways in which it can be applied…
This booklet has been provided by More Maths Grads and it is designed to highlight the versatility of mathematics and to show that a degree in the mathematical sciences can take students anywhere; it can open doors, from developing software technologies to being a professional rugby league player. Working on exciting and innovative…
This booklet, provided by More Maths Grads aims to promote studying mathematics by listing the the benefits of following mathematical courses, dealing with cultural preconceptions about the subject and by giving detailed advice on future careers using mathematics.
This resource has been developed by More Maths Grads and CRAC:…
This guide arises from the More Maths Grads project, and it is intended to show what has worked in the project. It provides some evidence of that success in the form of comments from students and their teachers, and gives examples of what might be done. It shares experiences of how to find suitable partners and engage the audience,…
This research report written by Charles Lee, Antony Marsh and Michael Parker for More Maths Grads presents an evidence based model for the factors to be taken into account in the design of a mathematics degree programme which is both attractive and structurally appropriate for mature and part time students.
A set of good practice…
This booklet has been provided by More Maths Grads and it has been written to help answer one of the common questions heard in mathematics classrooms up and down the country, and even one in the Houses of Parliament - what's the point of learning all this maths stuff?
The logic and organisation of a mathematical brain helps…
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Beginning Algebra - 7th edition
ISBN13:978-0073309606 ISBN10: 0073309605 This edition has also been released as: ISBN13: 978-0073048314 ISBN10: 0073048313
Summary: Beginning Algebra, 7/e by Baratto/Bergman is part of the latest offerings in the successful Streeter-Hutchison Series in Mathematics. The seventh edition continues the hallmark approach of encouraging the learning of mathematics by focusing its coverage on mastering math through practice. This worktext seeks to provide carefully detailed explanations and accessible pedagogy to introduce basic algebra skills and put the content in context. The authors use a three-pron...show moreged approach (I. Communication, II. Pattern Recognition, and III. Problem Solving) to present the material and stimulate critical thinking skills. Items such as Math Anxiety boxes, Check Yourself exercises, and Activities's skills in relating to mathematics. The book is designed for a one-semester beginning algebra course and is appropriate for lecture, learning center, laboratory, or self-paced courses. It is accompanied by numerous useful supplements, including McGraw-Hill's online homework management system, MathZone. ...show less
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Elementary Statistics - With CD - 6th edition
Summary: Elementary Statistics is appropriate for a one-semester introductory statistics course, with an algebra prerequisite. ES has a reputation for being thorough and precise, and for using real data extensively. Students find the book readable and clear, and the math level is right for the diverse population that takes the introductory statistics course. The text thoroughly explains and illustrates concepts through an abundance of worked out examples.0201771306 Used, in good condition. Book only. May have interior marginalia or previous owner's name. We are an actual bricks & mortar bookstore!
$21.25 +$3.99 s/h
Good
One Stop Text Books Store Sherman Oaks, CA
2004-06-21 Hardcover Good Good.
$22.40 +$3.99 s/h
VeryGood
SNaylerbooks Bury St Edmunds,
Hardcover Very Good 020177130623.5074 +$3.99 s/h
Good
Big Planet Books Burbank, CA
2004-06-21
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the M-file Connexions Modules
Summary: This is an introduction to a set of Connexions modules on M-file languages and environments for freshman engineering problem solving. These M-file environments include MATLAB, LabVIEW MathScript, and Octave.
MATLAB has emerged as a widely used computational tool in many fields of engineering. MATLAB consists of a programming language used in an interactive computing environment that supports the development of programs to solve complex problems.
The MATLAB language has become a defacto standard that is also used by several other computational packages, including LabVIEW MathScript and Octave. Generically, we refer to these packages as m-file environments because the program files typically are identified by an extension of "m".
The Connexions modules in this course are intended to introduce freshman engineering students to problem solving using an m-file environment. Most of the information in these modules applies to any m-file environment (MATLAB, LabVIEW MathScript, Octave, etc.). There are some differences between environments, and occasionally some material will be specific to a given environment. This material is offset from the surrounding text and labeled with the appropriate environment. For example
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Oh boy. That is scary. Can you get help to catch up and get on top of it? In 10 th gr. I was failing math so I went back and learned the gr9 text from page one on to see what I had missed. It helped a lot .
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GCSE ORDINARY LEVEL (Ages 15 & 16)
Our complete GCSE Ordinary course contains:
9 Sections
7 Matching Practice Papers
3 Interactive Tests
Contents
Download the course contents here
GCSE Ordinary Course Complete List of Contents
Sections
All our sections include a comprehensive array of Mathematical problems in clearly–explained teaching text with plenty of worked examples. Sections are graduated in order of difficulty and are followed by exercises with fully worked answers
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IGCSE Mathematics by Morrison
IGCSE Text by Morrison
Mathematics: IGCSE is a new text written specifically for the Cambridge International Examinations syllabus. It has been written and trialled by experienced IGCSE teachers and endorsed by CIE, ensuring that it is up to date and comprehensive in its coverage of the syllabus.
This book contains:
·Comprehensive coverage of the IGCSE syllabus
·Work for classroom learning, but also encouragement for self-assessment and independent thinking
·A well-structured and student-friendly text
·Glossary boxes explaining new and difficult words
·'check-your-progress' exercises to help students assess their development
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Functions Modeling Change: A Preparation for Calculus, 3rd Edition
Exceptional Problems: Examples and problems based on real data help students create mathematical models to help them understand their world. An appropriate number of drill problems are included to assist students in learning techniques. The problems are varied and some are more challenging. Most cannot be done by following a template in the text.
Allows for a broad range of teaching styles. This text is flexible enough for use in large lecture halls, small classes, or in group or lab settings.
Focuses on fewer topics than is customary, but each topic is treated in greater depth. Only those topics essential to the study of calculus are included.
Reflects the spirit of the standards established by the Mathematical Association of America (MAA) and the American Mathematical Association of Two-Year Colleges (AMATYC), and meets the recommendations of the National Council of Teachers of Mathematics (NCTM).
Assumes technology has a place in modern mathematics. This text takes full advantage of technology when appropriate, although no specific technology is emphasized. It is important for students to learn how and when to use technology as a tool, as well as its limitations. However the focus of the text is on conceptual understanding not technology.
The Rule of Four: Each function is represented symbolically, numerically, graphically, and verbally.
Based on questions in the printed test bank and allows for varied questions types. Professors can freely edit and/or create their own test questions directly into the software. Available online.
Faculty Resource Network
Instructor's Manual
Contains teaching tips, calculator programs, some overhead transparency masters and test questions arranged according to section. The IM includes identification of technology oriented problems and new syllabi.
FACULTY RESOURCE NETWORK
Book Companion Site
The accompanying website contains all instructor supplements as well as web quizzes for student practice.
Book Companion Site
The accompanying website contains all instructor supplements as well as web quizzes for student practice.
ConcepTests (new)
ConcepTests, modeled on the pioneering work of Harvard physicist Eric Mazur, are questions designed to promote active learning during class, particularly (but not exclusively) in large lectures.
The Student Study Guide contains additional study aids for students that are tied directly to the text.
Getting Started with Graphing Calculator Manual
Instructs students on how to utilize their TI-83/82 calculators with this textbook. The TI-86/85 and TI-89 are also discussed. Contains samples, tips, and trouble shooting sections to answer student's questions.
Book Companion Site
The accompanying website contains all instructor supplements as well as web quizzes for student practice.
Book Companion Site
The accompanying website contains all instructor supplements as well as web quizzes for student practice.
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• Graph up to four equations at once.
• Graphs are labeled.
• You can drag the graph or pinch to zoom in or out.
• Calculator can find roots and intersections.
3) A unit converter. With a tap, you can enter the result of your conversion into the calculator. Currently converts different units of the following: acceleration, angle, area, density, distance, energy, force, mass, power, pressure, speed, temperature, time, and volume. Great for doing physics homework!
4) Constants for scientific calculations -- speed of light, strength of gravity at Earth's surface, etc. etc. etc. Tapping on a constant will insert it into your calculation -- i.e, you don't have to key in the value. Again, great for doing physics homework!
5) It can make a table of the values of any function you care to enter. You can choose the starting x value of the table, as well as how much x increases for each successive row.
6) Forgot the quadratic formula? Or the double-angle formulas for sine and cosine? The math/science reference hits the high points of various subjects. Currently includes algebra, differential and integral calculus, geometry, trigonometry, vectors, vector calculus, and classical mechanics.
I'd love to hear your comments or suggestions. You can write me at [email protected] -- but without the xyz
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Unit conversions are used in every branch of math and science including Algebra, Calculus, Physics, and Chemistry. In the course of solving problems the student will need to convert between various units in order to solve the problem. For example, if solving a Physics problem it may be necessary to convert between centimeters per second to kilometers per hour in order to correctly solve the problem. This DVD course teaches the techniques of the most common unit conversions by fully worked example problems. This DVD is not intended to be a reference DVD for all conversion factors that you will see in your classes. More importantly, the strategy associated with unit conversions is emphasized such that the student will be comfortable applying any conversion factor ecessary to solve the problem -- even those not found on this disk.
Studies of Simone de Beauvoir have mostly concentrated on her literature, her life, and her famous 1949 work, The Second Sex, and the continued emphasis has been on Beauvoir's views on gender. The Philosophy of Simone de Beauvoir places her theory of women's "otherness" in the context of a number of contemporary theories on a similar subject.
Struggling to generate conversions with your video marketing campaign? Andy reveals four powerful secrets in facilitating sales using online multimedia. It's not about technology, it's about doing things the right way.
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Analysis
Makes precise the notions of convergence and continuity and examines the validity of intuition about these notions. The course thus puts calculus on a firm foundation and establishes the range of its application. Convergence and continuity form the foundation for much more than elementary calculus and the course also aims to orient students towards these further developments. This course is therefore appropriate for those intending to teach mathematics, as well as those who wish to pursue further study in mathematics.
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Editorial Reviews
Review
"[The author], through the use of a few clear metamathematical tools, offers the reader a convincing and well-documented historical reconstruction of the rise of the structural image of algebra... [The] book, by reason of its historical approach, could be associated with the so-called 'new historiography of mathematics'. But, unlike some of these works, it is a very good example of the fine balance between historical data and philosophical interpretaion. -- M. Mazzotti, British Journal of the History of Science
--This text refers to an alternate
Paperback
edition.
From the Back Cover
The notion of a mathematical structure is among the most pervasive ones in twentieth-century mathematics. Modern Algebra and the Rise of Mathematical Structures describes two stages in the historical development of this notion: first, it traces its rise in the context of algebra from the mid-nineteenth century to its consolidation by 1930, and then it considers several attempts to formulate elaborate theories after 1930 aimed at elucidating, from a purely mathematical perspective, the precise meaning of this idea.
Part one dicusses the process whereby the aims and scope of the discipline of algebra were deeply transformed, turning it into that branch of mathematics dealing with a new kind of mathematical entities: the "algebraic structures". The transition from the classical, nineteenth-century, image of the discipline to the thear of ideals, from Richard Dedekind to Emmy Noether, and culminating with the publication in 1930 of Bartel L. van der Waerden's Moderne Algebra. Following its enormous success in algebra, the structural approach has been widely adopted in other mathematical domains since 1930s. But what is a mathematical structure and what is the place of this notion within the whole fabric of mathematics? Part Two describes the historical roots, the early stages and the interconnections between three attempts to address these questions from a purely formal, mathematical perspective: Oystein Ore's lattice-theoretical theory of structures, Nicolas Bourbaki's theory of structures, and the theory of categories and functors.
More About the Author
I am a historian of mathematics working at Tel-Aviv University. You can see more about my work, here:
My research has focused on an attempt to understand the historical development of some of the main threads of twentieth-century mathematics. Among other things my research has dealt with the rise of modern algebra, the development of the idea of a mathematical structure, the rise of the modern axiomatic method, the introduction of digital computers into research in pure mathematics, and the works of some leading figures such as David Hilbert, Emmy Noether, Nicolas Bourbaki, and others.
As part of a more general academic interest in history and philosophy of science, in 1999-2009 I was editor of the journal Science in Context (Cambridge University Press), and in 2003-2009 I was director of the Cohn Institute for History and Philosophy of Science at Tel-Aviv University.
I also have a keen interest in Latin American literature. I wrote an introductory overview (in Hebrew) to the prose of Jorge Luis Borges, and also translated several books into Hebrew, including Mario Vargas Llosa's "La Casa Verde".
Corry's work is a truly amazing piece of scholarship. As appreciative as I normally am for histories of mathematics, I was utterly clueless about the techtonic shift in attitudes toward algegraic and structural/relational thinking which has become the hallmark or contemporary mathematics that occurred in the late 19th, early 20th Centuries.
This is an exceptionally careful bit of scholarship that should be of substantial interest to anyone with even a casual interest in mathematics, algebra, and logic. It does not bog the reader down with excessive mathematical detail -- it is, after all, a work in history rather than mathematics 'simpliciter.' Corry develops his argument with a meticulous attention to detail coupled with a well-crafted prose style that makes this book a "MUST HAVE" for anyone with even a tangential concern for the history &/or philosophy of mathematics, or any of the fields related to those.
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Aleks Users Guide-One Term (New Only) - 00 edition
Summary: Aleks is an artificial intelligence-based system for individualized math learning, available for Higher Education from McGraw-Hill over the World Wide Web. Aleks delivers precise assessments of your math knowledge, guides you in the selection of appropriate new study material, and records your progress toward mastery of goals. Aleks interacts with you much as a skilled human tutor would, moving between explanation and practice as needed, correcting and analy...show morezing errors, defining terms and changing topics on request. By accurately assessing your knowledge, Aleks focus clearly on what you are ready to learn next, helping you master the course content more quickly and easily
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Introduction to Geometric Computing
Computing is quickly making much of geometry intriguing. What is the core set of topics that a practitioner needs to study before embarking on the design and implementation of a geometric system in a specialized discipline? This book attempts to find the answer.
Although geometry has been a flourishing discipline for millennia, most of it has seen either no practical applications or only esoteric ones. Computing is quickly making much of geometry intriguing not only for philosophers and mathematicians, but also for scientists and engineers. What is the core set of topics that a practitioner needs to study before embarking on the design and implementation of a geometric system in a specialized discipline? This book attempts to find the answer. Every programmer tackling a geometric computing problem encounters design decisions that need to be solved. What may not be clear to individual programmers is that these design decisions have already been contemplated by others who have gone down some system design path only to discover (usually much later) that the design decisions that were made were lacking in some respect. This book reviews the geometric theory then applies it in an attempt to find that elusive "right" design.
Table of Contents
Table of Contents
From the contents Introduction.
Euclidean Geometry.
2D Computational Euclidean Geometry.
3D Computational Euclidean Geometry.
Affine Intersections.
Numerical Precision.
Non
Euclidean Geometries.
Spherical Geometry.
Rotations and Quaternions.
Barycentric Coordinates.
Oriented Projective Geometry.
Oriented Projective Intersections.
Grassmannians.
Coordinate
Free Geometry.
Coordinate
Free Geometry.
Filtering.
Introduction to CGAL.
Raster Graphics.
Segment Scan Conversion.
Illumination and Shading.
Raster
Based Visibility.
Ray Tracing.
Graphs.
Graphs: A Comparison of Four Libraries.
Tree and Graph Drawing.
Introduction to the Boost Graph Library.
Geometric and Solid Modeling.
Boundary Representations.
The Halfedge and Euler Operators.
Binary Space Partitioning.
Constructive Solid Geometry.
Nef Polyhedra.
Tetrahedralizations.
Vector Visibility.
Visibility in the Plane.
Visibility in Space.
The PostScript Language.
OpenGL.
the GLOW Toolkit.
Generic Programming
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nonprofit transcription into Braille, Houghton Mifflin is not authorized to grant ...
Unit 1 of Math Expressions ... (3) to introduce algebraic expressions and
equations that feature ... given a variety of special materials that help them
practice.
A complete program of activities, practice, and assessment for each ... RP.3a
Algebra • Equivalent Ratios and Graphs . ... Investigate • Model Mixed Number
Division . . . . . . 45. Lesson 24 6.NS.1 ..... Then have them check to see if their
answers.
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Math.NET aims to provide a self contained clean framework for symbolic mathematical (Computer Algebra System) and numerical/scientific computations, including a parser and support for linear algebra, complex differential analysis, system solving and more
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Starting at $145.96Probability theory is a rapidly expanding field and is used in many areas of science and technology. Beginning from a basis of abstract analysis, this mathematics book develops the knowledge needed for advanced students to develop a complex understanding of probability. The first part of the book systematically presents concepts and results from analysis before embarking on the study of probability theory. The initial section will also be useful for those interested in topology, measure theory, real analysis and functional analysis. The second part of the book presents the concepts, methodology and fundamental results of probability theory. Exercises are included throughout the text, not just at the end, to teach each concept fully as it is explained, including presentations of interesting extensions of the theory. The complete and detailed nature of the book makes it ideal as a reference book or for self-study in probability and related fields. Covers a wide range of subjects including f-expansions, Fuk-Nagaev inequalities and Markov triples. Provides multiple clearly worked exercises with complete proofs. Guides readers through examples so they can understand and write research papers independently.
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Linear Algebra Labs with MATLAB, 3e
Written as a supplement for sophomore-level courses in linear algebra, this manual reinforces key concepts using a variety of class-tested exercises. Topics covered include linear systems, matrix operations, inverses, orthogonal sets, linear transformations, and an introduction to MATLAB. MATLAB and the Symbolic Math Toolbox are used to solve example problems throughout the text.
Free Mathematical Modeling Technical Kit
Learn how you can quickly build accurate mathematical models based on data or scientific principles.
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Algebra II: Sequences and Series
Find study help on sequences and series for algebra II. Use the links below to select the specific area of sequences and series you're looking for help with. Each guide comes complete with an explanation, example problems, and practice problems with solutions to help you learn sequences and series for algebra II.
Introduction to Sequences and Arithmetic
Sequences
A sequence is a series of terms in which each term in the series is generated using a rule. Each value in the sequence is a called a term. The rule of a sequence ...
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